Question

For f (x)=2x+1 and g(x)=x

Answer 1

C

Explanation:

The function (g/f)(x) is the division of function g(x) by function f(x). Here, g(x) = x^2 - 7 and f(x) = 2x + 1. Therefore, (g/f)(x) = (x^2 - 7) / (2x + 1). However, the function is undefined when the denominator equals zero. Solving the equation 2x + 1 = 0 gives x = -1/2. Therefore, the correct answer is (x^2 - 7) / (2x + 1), x ≠ -1/2, which corresponds to option C.