Question

Given f(x)=4x−3 and g(x)=2x−1, solve for g(f(2)).

a. 1
b. 3
c. 9
d. 15

Answer 1

To solve for g(f(2)), first find the value of f(2) which is 5. Then, plug this value into g(x) to get g(5), which equals 9. So, the solution for g(f(2)) is 9.

Step-by-step explanation:

To solve for g(f(2)), we first need to determine the value of f(2) using the function f(x) = 4x - 3. Plugging 2 into the function, we get:

f(2) = 4(2) - 3 = 8 - 3 = 5

Now, with the value of f(2), we can find g(f(2)) using the function g(x) = 2x - 1. By plugging 5 into this function, we get:

g(f(2)) = g(5) = 2(5) - 1 = 10 - 1 = 9

Therefore, the solution to g(f(2)) is 9.