For two cdfs F(x) and G(x), F(x)G(x) is a cdf.

Q: show that 1f ∘ g2 (x) = 1g ∘ f2 (x) = x.

A: Given: fx=1x, gx=1x. To find: f o gx=g o fx=x Solution: Finding f o gx. f o gx=fgx=f1x=11x=x

Q: Find f(x) divided by g(x)

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Q: Find f ∘ g ∘ h. f(x) = x4 + 8,   g(x) = x − 6,   h(x) =    x

A: Here we solve composition of functions.

Q: Evaluate  (f ∘ g)(5). f(x) = 2x + 1 g(x) = x + 9 (f ∘ g)(5) =

A: f(x) = 2x+1 &, g(x) = x+9 So, g(5) = 5+9 = 14

Q: If  f(x) = 4x + 3 and g(x) =  1 x,  find f(g(x)) and g(f(x)). f(g(x)) =        g(f(x)) =

A: Given:…

Q: Let f(x)=x2−2xf(x)=x2−2x and g(x)=3−x2g(x)=3−x2.   (f+g)(7)=(f+g)(7)=  help (numbers)…

A: The functions are f(x)=x2-2x   &    g(x)=3-x2

Q: 1f fC)-3x-4 -ndg)=2びナx, find slfk)

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Q: nd f(x) and g(x) suc 4 %3D

A:

Q: If f(x) = x + 6 and g(x) = x² - 5, find the following. b. g(f(0)) d. g(f(x)) a. f(g(0)) c. f(g(x))

A: We are authorized to answer three subparts at a time since you have not mentioned which part you are…

Q: Given f={(-2,6).(-1,8), (0, 5), (1, 0), (2,-2)} and g(x)=x² +1, a) Graphf-g

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Q: If f(x) = 2x + 1 and g(x) 3 find f(g(x)) and g(f(x)). f(g(x)) = g(f(x)) =

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Q: If f(x) = x2 and g(x) = x + 2, find (f ∘ g)(x) and (g ∘ f)(x).

A: Find f∘gx as shown below: f∘gx=fgx              =fx+2              =x+22              =x2+4x+4