Given f(x)=f(x1)3 and f(2)=5, what is the value of f(8) First isolate f(x1) f(x)=f(x1)3 f(x)3=f(x1) f(x1) = f(x) 3Function f 1 (x) = 2X1 18 Given the function f (x) a 8 pt Find the inverse function f b 2 pt What is the range of f 1 (x)?G(x) = x2 g(5) = 52 g(5) = 3f(x) = x^2 1 f(g(5)) = (g(5))^2 1 since g(5) = 3, equation becomes f(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
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F x x 2 what is g x 1 4 brainly-A 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 xaxisIf a > 1 is a real number, then the number of roots of the equation a 2 l o g 2 x = 54 x l o g 2 a has The exponential form of lo g 8 0125 = − 1 is 8 − m = 0125 Then value of m is
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1 Answer BRIAN M In order to solve (g o f) (x) for f (x) = 2x − 5 and g(x) = x2 −3, the f (x) function must be substituted into the g (x) function The simplification of the function is (g o f) (x) = 4x2 − x 22 (f@g)(x)=15x3 and (g@f)(x)=15x5 By definition, the composition function is given by (f@g)(x)=fg(x) = f(3x1)=5(3x1)2=15x3 Similarly, (g@f)(x)=gf(x)=g(5x2)=3See 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(g
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G (x)=5x^2 f (x) = x − 1 f ( x) = x 1 ;To solve this question we must know that we are in the presence of a composite Davneet Singh is a graduate from Indian Institute of Technology, Kanpur He has been teaching from the past 10 years He provides courses for Maths and Science at Teachoo
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Ex 52, 9 Prove that the function f given by 𝑓 (𝑥) = 𝑥 – 1, 𝑥 ∈ 𝑅 is not differentiable at x = 1 f(x) = 𝑥−1 = { ((𝑥−1), 𝑥−1≥0@−(𝑥−1), 𝑥−1 Just add the two together (fg)(x)=(3x2)(x^21) (fg)(x)=x^23x1 Algebra Science Anatomy & PhysiologySolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more
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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 compressedSuppose 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)?F ( g ( x))?
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Use interval notation 12 19 8 pt When a softball player hits a ball, the height of the ball depends upon the time it has been in flight Alicia hits a softball Since ( f g)(x) = f (x) g(x), we can simply input 3x2 5x − 1, which cannot be simplified further Answer linkF (x) = x − 5 f ( x) = x 5 , g(x) = x2 g ( x) = x 2 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) = (x2)−5 f ( x 2) = ( x 2) 5 Remove parentheses f (x2) = x2 −5 f ( x 2) = x 2 5
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(fg)(x) = x^24x4 add them together f(x) g(x) (4x1)(x^25) 4x1x^25 x^24x4 (fg)(x) = x^24x4A composite function is a function which is made by combining two or more than two functions For example, if f(x) f ( x) and g(x) g ( x) are two functions, then we can define two compositeF(g(0)) 3 a circular oil spill continues to increase in size the radius of the oil spill, in miles, is given by the function r(t) = 05 2t, where t is the time in hours the area of the circular region is given by the function a(r) = πr2, where r is the radius of the circle at time t
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