If \( f(x)=5 x^{2}-5 x-7 \), and \( g(x)=x-3 \) find \( (g \circ f)(4) \) Your Answer: Answer

To find \( (g \circ f)(4) \), we first need to evaluate \( f(4) \) and then plug that result into \( g(x) \). 1. Calculate \( f(4) \): \[ f(4) = 5(4^2) - 5(4) - 7 = 5(16) - 20 - 7 = 80 - 20 - 7 = 53 \] 2. Now, we use that result to find \( g(f(4)) = g(53) \): \[ g(53) = 53 - 3 = 50 \] So, the answer is \( (g \circ f)(4) = 50 \).