Question

What is the value of g(f(2)) when f(x)=4−x and g(x)=5x−2?

a) 16
b) 6
c) -6
d) -16

Answer 1

The value of g(f(2)) for the given functions f(x)=4−x and g(x)=5x−2 is equal to 8.

Step-by-step explanation:

To find the value of g(f(2)), we need to evaluate the function f(x) first. Substituting x = 2 into f(x) = 4 - x, we get f(2) = 4 - 2 = 2. Now, we substitute this value into the function g(x) to find g(f(2)). Substituting x = 2 into g(x) = 5x - 2, we get g(f(2)) = 5(2) - 2 = 8 - 2 = 6.

The student is asking for the value of g(f(2)) given two functions f(x) = 4 - x and g(x) = 5x - 2. First, we need to find the value of f(2) by plugging 2 into the function f, which yields f(2) = 4 - 2 = 2. Then, we take the resulting value and plug it into the function g to get g(f(2)) = g(2). Substituting 2 into g, we calculate g(2) = 5(2) - 2 = 10 - 2 = 8.