Given  f(x) =  x  over  5 + x  and  g(x) =  5x over 1 − x,  complete the following. (a) Find f(g(x)) and g(f(x)). f(g(x))  =        g(f(x))  =

Q: Find f(g(x)) and g(f(x)) for the following functions: f(x) = 6x + 7 g(x) = x² + 3x + 8 f(g(x)): =…

A:

Q: Find (f - g)(x). f(x)= 2x- 2, g(x) = 4-x

A:

Q: For the function f(x) = x +7, find f(x). | Of (2) = a -7 Of (x) = x5-7 Of () = (-7) OS (2) = + 7

A: Given:…

Q: If f(x) = x + 4 and g(x) = 4x − 1,  Find (f ∘ g)(x)

A:

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: If f(x) = x and g(x) = x + 2, find (fo g)(x) and (g o)(x).

A: f(x)=x2 and g(x)=x+2

Q: Find g(f(g(-3)) given that f(x)=4x+3 and g(x)=x-2.

A: Solution :  Given that the functions  f(x) = 4x+3 g(x) = x-2

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

A:

Q: f  f(x) = (1 − x)2 and g(x) = 9 − x,  find f(g(x)) and g(f(x)).

A: Composition means that you can plug g(x) into f (x). This is written as "( fog)(x)", which is…

Q: If  f(x) = (1 − x)2 and g(x) = 6 − x,  find f(g(x)) and g(f(x)). f(g(x))  =        g(f(x))  =

A:

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