Question

F (x) = 2x - 3, g (x) = 5x + 6
f(g (2))

Answer 1

Explanation:

To find \( f(g(2)) \), follow these steps:

1. Substitute \( x = 2 \) into the function \( g(x) \):

\[ g(2) = 5 \cdot 2 + 6 = 16 \]

2. Substitute the result into the function \( f(x) \):

\[ f(g(2)) = f(16) \]

3. Substitute \( x = 16 \) into the function \( f(x) \):

\[ f(16) = 2 \cdot 16 - 3 = 29 \]

So, \( f(g(2)) = 29 \).