Question

Evaluate (F/G)(-5) for the given functions F(x) = x^2 - 11 and G(x) = 6 - x.

Answer 1

To evaluate (F/G)(-5) for the given functions F(x) = x^2 - 11 and G(x) = 6 - x, substitute -5 into each function and then divide the resulting values. The answer is approximately 1.2727.

Step-by-step explanation:

To evaluate (F/G)(-5) for the given functions F(x) = x^2 - 11 and G(x) = 6 - x, we need to substitute -5 for x in both functions and then divide the resulting values for F and G.

First, we substitute -5 into F(x): F(-5) = (-5)^2 - 11 = 25 - 11 = 14.

Next, we substitute -5 into G(x): G(-5) = 6 - (-5) = 6 + 5 = 11.

Finally, we divide F(-5) by G(-5): (F/G)(-5) = 14/11 = 1.2727.