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

A: Given f(x)=3x+1 and g(x)=4x we have to find f(g(x)), g(f(x))

Q: Given the functions, f(x)=x2+x, g(x)=5x-4 and h(x)=3, find (f*g)(2)

A: Given:    fx=x2+xg(x)=5x-4h(x)=3 The product f . g f×gx=fx×gx To find the product of two function,…

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

A:

Q: Let f(x) = 3x + 2 and g(x) = 5x – 8. Find all values of x for which f(x) > g(x).

A: f(x)=3x+2  ,  g(x)=5x-8

Q: Find (g x f)(10) when f(x) = x - 1/3 and g(x) = 2x + 3

A:

Q: Let f(x) = 2x - 9 and g(x) = for which f(x) > g(x). = 5x + 4. Find all values of x

A: given: fx=2x-9g(x)=5x+4 we have to find all values of x for which f(x)>g(x)

Q: Find f(3) for the given function. f(x)=(x-2)(x-4)(x+5)

A: Explanation of the answer is as follows

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: Let f(x)=2x²-2x and g(x) = -4x-1. Find f[g(3)]. f[g(3)] =

A: Step 1:

Q: Let f (x) = x² and g (x) = 2x - 4. Find the following: (a) f(3) + g (3) = (b) f(3) g (3) = (c) (d)…

A:

Q: Find the value of f(g(x)) if f(x) = 4x and g(x) = x2 + 1

A: If f and g be two function defined on the set of real number and the image set of g is a subset of…

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