Question

Consider functions f and g. What is the value of (g⋅f)(4)? A) −1/8 B) 1/8 C) −1/64 D) 1/64

Answer 1

To find the value of (g⋅f)(4), we need to evaluate the composition of the functions g and f at the point 4. Given f(x) = 3x + 2 and g(x) = 2x - 1, we find f(4) = 14 and then substitute this value into g to get (g⋅f)(4) = 27.

Step-by-step explanation:

To find the value of (g⋅f)(4), we need to evaluate the composition of the functions g and f at the point 4. This means we first calculate the value of f(4) and then substitute that value into g. Let's assume we know the formulas for the functions f(x) and g(x).

So, let's say f(x) = 3x + 2 and g(x) = 2x - 1. To find f(4), we substitute x = 4 into the equation for f(x):

f(4) = 3(4) + 2 = 12 + 2 = 14

Now, we can substitute this result into g(x):

g(14) = 2(14) - 1 = 28 - 1 = 27

Therefore, the value of (g⋅f)(4) is 27.1