Question

Let f(x) = 5x -8 and g(x)=x+1. Find f(g(x)) and g(f(x)).​

Answer 1

For f(g(x)), substitute x+1 into function f(x).

f(g(x)) = 5(x+1) - 8. Multiply 5 by x+1

f(g(x)) = 5x + 5 - 8. Combine like terms.

f(g(x)) = 5x - 3

For g(f(x)), substitute 5x-8 into function g(x).

g(f(x)) = (5x-8) + 1. Combine like terms.

g(f(x)) = 5x -7.