Question

using the following equations, find g(f(x)): f(x) = x^5 g(x) = x + 4 g(f(x)) = x^? +

Explanation:

Step1: Substitute f(x) into g(x)

To find \( g(f(x)) \), we substitute \( f(x) = x^5 \) into \( g(x) \). So we replace the \( x \) in \( g(x) = x + 4 \) with \( f(x) \), which gives \( g(f(x)) = f(x) + 4 \).

Step2: Replace f(x) with its expression

Since \( f(x) = x^5 \), we substitute that into the equation from Step 1: \( g(f(x)) = x^5 + 4 \).

Answer:

The exponent of \( x \) is \( 5 \) and the constant term is \( 4 \), so \( g(f(x)) = x^{5} + 4 \). Thus, the values are \( 5 \) (for the exponent) and \( 4 \) (for the constant term).