Question

Let f(x) = 4x - 7 and g(x) = x +5. Find f(g(x)) and g(f(x))

f(g(x))=(Simplify your answer.)
g(f(x)) = (Simplify your answer.)
=
)

Answer 1

Explanation:

Given:

• f(x) = 4x - 7 and g(x) = x + 5

Find f(g(x)) and g(f(x)):

• f(g(x)) = f(x + 5) = 4(x + 5) - 7 = 4x + 20 - 7 = 4x + 13
• g(f(x)) = g(4x - 7) = 4x - 7 + 5 = 4x - 2