\[ f(x) = 3x + 4 \quad g(x) = 2x - 3 \] \[ \text{Find: } f \circ g(x) \]

To find \( f \circ g(x) \), which means to compose the functions \( f \) and \( g \), you will substitute \( g(x) \) into \( f(x) \). First, we calculate \( g(x) \): \[ g(x) = 2x - 3 \] Now, substitute \( g(x) \) into \( f(x) \): \[ f(g(x)) = f(2x - 3) \] Now, we replace \( x \) in \( f(x) = 3x + 4 \) with \( 2x - 3 \): \[ f(2x - 3) = 3(2x - 3) + 4 \] Distributing \( 3 \): \[ = 6x - 9 + 4 \] \[ = 6x - 5 \] Thus, the final result for \( f \circ g(x) \) is: \[ f \circ g(x) = 6x - 5 \]