Use the functions given by f(x) = x + 6 and g(x) = 7x - 3 to find g^-1 _º f^-1.

Question

Quizplus · Accepted Answer

First, we need to find g(f(2)). Starting with f(2): f(2) = 2 + 6 = 8 Now, plugging in f(2) into g(x): g(f(2)) = g(8) = 7(8) - 3 = 53 Next, we need to find f(g(1)). Starting with g(1): g(1) = 7(1) - 3 = 4 Now, plugging in g(1) into f(x): f(g(1)) = f(4) = 4 + 6 = 10 Finally, we need to find f(g(-1)), which follows the same process as above: g(-1) = 7(-1) - 3 = -10 f(g(-1)) = f(-10) = -10 + 6 = -4 Putting it all together: g^-1 _º f^-1 = 53 _º10 -4 The only answer choice that matches this is C.

Use the Functions Given by F(x) = X + 6