Question

F(x) = 3.2 – 7:+ 4 and g(x) = 5x – 11, what is gf (3))?

Answer 1

To evaluate the composite function (g ∘ f)(3), first calculate f(3), then use that result as the input for g(x). After calculations, we find that f(3) is -13.8, and g(f(3)) equals -80.

Step-by-step explanation:

The question asks us to evaluate the composite function (g ∘ f)(3). To do this, we need to first evaluate f(3) and then use that result as the input for the function g(x). The given functions are f(x) = 3.2 − 7 plus 4 and g(x) = 5x − 11. Let's calculate f(3) and then g(f(3)) sequentially:

1. First find f(3): f(3) = 3.2 − 7(3) + 4 = 3.2 − 21 + 4 = − 17.8 + 4 = − 13.8.
2. Now apply g to the result of f(3): g(f(3)) = g(− 13.8) = 5(− 13.8) − 11 = − 69 − 11 = − 80.

So, the value of (g ∘ f)(3) is − 80.