Question

Given f (g (x)) = x + 4 and f (x) = 3x + 5, find g (x).​

Answer 1

Answer:

g(x) = $\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}$

Step-by-step explanation:

f(x) = 3x + 5

f[g(x)] = 3[g(x)] + 5

⇒  3[g(x)] + 5 = x + 4

⇒  3[g(x)] = x + 4 - 5

⇒  3[g(x)] = x - 1

⇒  g(x) = $\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}$