The function f is defined by f (x) = x4 −4x2 x 1 for −5 ≤ x ≤ 5 What is the interval in which the minimum of value of f Purely a graphical approximation;Stack Exchange network consists of 178 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack ExchangeSimple and best practice solution for g(x)=f(x2) equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand,
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F(x)=x^2 what is g(x) (1 4) brainly- (fg)(x) = x^24x4 add them together f(x) g(x) (4x1)(x^25) 4x1x^25 x^24x4 (fg)(x) = x^24x4 Stepbystep explanation Given that g(x) = \frac{x 1}{x 2}g(x)= x−2 x1 and h(x) = 4 x Now, if y = f(x) and y = g(x) then the composite function (f∘g)(x) is given by fg(x)
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Find f(g(x)) f(x)=x^24 ;Composite Functions – Explanation & Examples In mathematics, a function is a rule which relates a given set of inputs to a set of possible outputs The important point to note about a function is that each input is related to exactly one output The process of naming functions is known as function notation TheSet up the composite result function Evaluate by substituting in the value of into Simplify each term Tap for more steps Rewrite as Expand using the FOIL Method Tap for more steps Apply the distributive property Apply the distributive property
Solve the following equation lo g 2 (100 x) lo g 2 (10 x) = 14 lo g x 1 Rewrite the following equalities in the exponential form lo g 3 243 1 = − 5 Write 6 3 = 216 in logarithmic formSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more
State the domain and range of the relation y = 2x 3 My answer y= 2x3 y= 2(1)3=5 domain 1 range 5 This is how my book showed me how to do it I just wanted to make sure I did it right If not could you please give me an As f (x) = √x2 2 and g(x) = x2 f (g(x)) = √(g(x))2 2 = √(x2)2 2 = √x4 2 and g(g(x)) = (x2)2 = x4 Answer link Jim G f (g(x)) = √x4 2 g(g(x) = x4 Answer g(x) = 3x² Stepbystep explanation Since we have given that So, the function of g(x) would be since we have given that (1,3) on g(x means (x,ax) Here, x = 1 So, ax = 3 which implies that a = 3 So, g(x) would look like and the graph of g(x) is compressed
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F (g (2)), g (x)=2x1, f (x)=x^2 \square!This is a composite function Concept For such a function, ie g(f(x)), perform inner, and then outer This means evaluate f(x) first The value will be known as value V Then perform g(V) Essentially, g(f(x))= g(V), where f(x)= V where x and VFind f(g(x)) f(x)=1/(x2) g(x)=4/x Set up the composite result function Evaluate by substituting in the value of into Simplify the denominator Tap for more steps Factor out of Tap for more steps Factor out of Factor out of Factor out of To write as a fraction with a common denominator, multiply by
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Question given f(x)=f(x1)3 and f(2)=5, what is the value of f(8) Answer by jim_thompson5910() ( Show Source ) You can put this solution on YOUR website!Suppose that F (x) = x^2 and G (x) = 2/5 x^2 Which statement best compares the graph of G (x) with the graph of F (x)?Solution for If f(x) = (1 − x)2 and g(x) = 4 − x, find f(g(x)) and g(f(x)) Q Assume that the probability of the birth of a child of a particular sex is 50%In a family with six A Probability of girl = 05 Probability of boy = 05 Also the birth of boy and girl is independent
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Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more Explanation substitute g(x) = 4x −1 into f (x) ⇒ f (4x −1) = (4x −1)2 3(4x − 1) = 16x2 −8x 1 12x − 3 = 16x2 4x −2 ⇒ (f ∘ g)(x) = 16x2 4x −2 to evaluate (f ∘ g)(0) substitute x = 0 into (f ∘ g)(x) ⇒ (f ∘ g)(0) = 0 0 − 2 = − 2(1,4) Answers 2 Show answers Another question on Mathematics Mathematics, 1330 Tammy now has to finance the remaining balance of $14,594 she decides to take out a 5 year loan at a rate of 56% compounded monthly given this info determine her monthly payment present v=
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̃T C g ́A ƊE I ŏo y ̌^ ʁz y R X ʁz ̃o X g A b v @ uHurry UP!!A ̃o X g A b v L p Ă݂āA M Ă ̂ A ͂ 킩 Ȃ Ȃ Ă 鎖 ł 傤 c ł ߂ ̂͂܂ II F 3,250 ~ @ r F00 r F0 i ̏ڍ i s A W F @ A b v X g i ގ SS T C Y P X 33mm @ r 19cm t i @ ۏ؏ @ A @ ɔ ܂ A ڗ _ W ͂ ܂ B P X J Ē E I Ȏ v B K A i @ @ X N ۏؕt i ͓X ⑼ T C g Ɠ ̔ ł B ̏ꍇ ͂ e ͂ ܂ 悤 肢 ܂ B U ݂ɂ 錈 ς̏ꍇ AEq1) or equivalently if the following equation holds for all such x f (x) − f (− x) = 0 {\displaystyle f(x)f(x)=0} Geometrically, the graph of an even function is symmetric with respect to the y axis, meaning that its graph remains unchanged after reflection about the y axis Examples of even functions are The absolute value x ↦ x , {\displaystyle x\mapsto x,} x ↦ x 2F(g(5)) = 3^2 1 f(g(5)) = 9 1 = 10answer for b is f(g(5)) = 10in general, you substitute whatever value is replacing x in the equation to get your answers looking at problem b in this way, we would get a general solution as follows f(x) = x^2 1 g(x) = x2 substitute g(x) for x f(g(x)) = (g(x))^2 1 substitute the equation
F X X 2 What Is G X A G X X 2 4 B G X X 2 4 C G X 4x 2 D G X X 2 4 Brainly Com
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See first you have to calculate g(1) which is g(1) = (1)^2 2 g(1) = 1–2 = 1 g(1) = f(g(1)) = f(1) Now we will calculate required value of f(g(1)) f(gF(x) = x2 What is g(x)?Answer to f(x) = x^2 2 and g(x) = x 4, find (f o g)(2) and (g o f)(1) 1 (f o g)(2)= 2 (g o f)(1)= By signing up, you'll get thousands of
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f (x) = x −3 g(x) = x2 4 f (g(x)) = f (x2 4) = x2 4 − 3 = x2 1 The range is f (g(x)) ∈ 1, ∞ g(f (x)) = g(x − 3) = (x −3)2 4 The range is g(f (x)) ∈ 4, ∞ Answer linkWeekly Subscription $199 USD per week until cancelled Monthly Subscription $699 USD per month until cancelled Annual Subscription $2999 USD per year until cancelledG(x) → "g of x" → "operation(s), g, applied to a given quantity or value , x" "g(x) = x1" tells you to simply subtract 1 from whatever xvalue is given g(5)= 5–1=4 g(6)= 6–1=5 g(9)= 9–1=8 g(x)=x1 f(x) → "f of x" → "operations, f, applied to a g
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Find (f g)(x) for f and g below f(x) = 3x 4 (6) g(x) = x2 1 x (7) When composing functions we always read from right to left So, rst, we will plug x into g (which is already done) and then g into f What this means, is that wherever we see an x in f we will plug in g That is, g acts as our new variable and we have f(g(x))Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!Let f R → R be defined by f ( x) = ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ x 2 x 2 2 − x x ≤ − 1 − 1 < x < 1 x ≥ 1 then the value of f ( − 1 7 5) f
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Just add the two together (fg)(x)=(3x2)(x^21) (fg)(x)=x^23x1 Algebra Science Anatomy & PhysiologyA The graph of G (x) is the graph of F (x) stretched vertically B The graph of G (x) is the graph of F (x) compressed vertically C The graph of G (x) is the graph of F (x) stretched vertically and flipped over the xaxis We now compute $$ g(f(f^{1}(x))) = 4(x 1)/2^2 4(x1)/2 3 = \cdots = x^2 2 $$ Share Cite Follow edited Oct 2 '17 at 1545 answered Oct 2 '17 at 13 Ben Grossmann Ben Grossmann 191k 11 11 gold badges 129 129 silver badges 264 264 bronze badges $\endgroup$ 4 1
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Minimum f = 463, nearly This is improved to 8sd, \displaystyle {} , using an iterative numerical methodStart studying Evaluating Functions Learn vocabulary, terms, and more with flashcards, games, and other study toolsConsider the function g(x) defined as g(x)(x8 −1)= (x1)(x2 1)(x4 1)(x8 1) The vaule of g(2) equals The graph of y = 2 x contains which of these points?
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F (x) = x g' (x) and f' (x) = x g (x) and f (0) = 1/2 and g (0) = 1/3 WolframAlpha Volume of a cylinder?Finite Math Find f (g (x)) f (x)=4x1 , g (x)=x^21 f (x) = 4x − 1 f ( x) = 4 x 1 , g(x) = x2 1 g ( x) = x 2 1 Set up the composite result function f (g(x)) f ( g ( x)) Evaluate f (g(x)) f ( g ( x)) by substituting in the value of g g into f f f (x2 1) = 4(x2 1)−1 f ( x 2 1) = 4 ( x 2 1) 1 1 Let F, G be defined by F(x) = ∫x 0e − t2dt G(x) = ∫1 0e − x2 ( t2 1) t2 1 dt Prove that F(x)2 G(x) = π 4 I can prove that F(x), G(x) are derivable And F ′ (x) = e − x2 G ′ (x) = ∫1 0 − 2x(t2 1)e − x2 ( t2 1) dt = ∫ − 2x2 0 eudu = e − 2x2 − 1, with u = − x2(t2 1) And then I try to prove that 2F
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Answer it is a operation of functions in multiplication actually there are 4 operations addition (fg) (x)=f (x)g (x) subtraction (fg) (x)=f (x)g (x) division f f (x)Graph f (x)=2 (1/4)^x f (x) = 2( 1 4)x f ( x) = 2 ( 1 4) x Exponential functions have a horizontal asymptote The equation of the horizontal asymptote is y Find an answer to your question What must be added to the polynomial f(x) =x^4 2x^3 2x^2 x 1 so that the resulting polynomial is exactly divisible by x tejjas tejjas
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Denominator (3x)=0 x=3 This means at x=3 function is not defined And by definition of domain The domain is where the function is not defined Domain is Range Put f(x)=y Range is the set of value that correspond to domain Equate the denominator to zero Denominator (y1)=0 y=1 This means at y=1 function is not defined Range isSolution Steps Factor out x Factor out x Consider x^ {3}3x^ {2}x3 Do the grouping x^ {3}3x^ {2}x3=\left (x^ {3}3x^ {2}\right)\left (x3\right), and factor out x^ {2} in the first and 1 in the second group Consider x3 3x2 −x− 3 Do the grouping x3 3x2 − x− 3 = (x3 3x2)(−x−3), and factor out x2 in the first and
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