Final answer:
The function that equals 8 when you evaluate f(2) is f(x) = 2x + 4.
Step-by-step explanation:
To find the function that equals 8 when evaluating f(2), we need to substitute 2 for x in each of the given options and see which one gives us the result of 8. Let's go through each option:
A. f(x) = 3x - 2
Substituting x = 2, we get f(2) = 3(2) - 2 = 6 - 2 = 4. Since this is not equal to 8, option A is incorrect.
B. f(x) = x^2 + 1
Substituting x = 2, we get f(2) = 2^2 + 1 = 4 + 1 = 5. Since this is not equal to 8, option B is incorrect.
C. f(x) = 4/x
Substituting x = 2, we get f(2) = 4/2 = 2. Since this is not equal to 8, option C is incorrect.
D. f(x) = 2x + 4
Substituting x = 2, we get f(2) = 2(2) + 4 = 4 + 4 = 8. Since this is equal to 8, option D is the correct answer.