Question

If f(x) = 4x - 9 and f(g(x)) = -2x - 7, find g(x):

a) Substitute f(x) into g(x)
b) Solve for g(x) algebraically
c) Use graphical methods
d) Apply the inverse function concept

Answer 1

To find g(x) in the equation f(g(x)) = -2x - 7, substitute f(x) into g(x) and solve for g(x) algebraically.

Step-by-step explanation:

To find g(x) in the equation f(g(x)) = -2x - 7, follow these steps:

Substitute f(x) into g(x): 4g(x) - 9 = -2x - 7

Solve for g(x) algebraically: 4g(x) = -2x + 2, g(x) = (-2x + 2) / 4