The function g is defined as follows

Question

g(x) = x^2-4x-5 / x^2-6x-16

find g(7)

Simplify your answer as much as possible

Answer 1

Plug in 7 every place x occurs and then evaluate. For numerator you get (7)(7) - 4(7) - 5 = 16. For denoinator you get (7)(7) - 6(7) - 16 = - 9. Now it's easy to evaluate 16 / (- 9) or - (16/9).