Question

Let f(x) = 2x+5 and g(x) = 2x2 – 3. Evaluate (fog)(1).
a 3
b 2
c 1
d 6

Answer 1

To evaluate (fog)(1), substitute 1 into g(x) and then substitute the result into f(x). The answer is 3.

Step-by-step explanation:

To evaluate (fog)(1), we need to substitute 1 into the function g(x) first, and then substitute the result into the function f(x).

Substituting 1 into g(x) = 2x^2 - 3, we get g(1) = 2(1)^2 - 3 = 2 - 3 = -1.

Next, we substitute -1 into f(x) = 2x + 5, and we get f(-1) = 2(-1) + 5 = -2 + 5 = 3.

Therefore, (fog)(1) = f(g(1)) = f(-1) = 3.