Question

Consider the following functions:

f (x) = 2x + 1
g(x) = x - 5

What is (gof)(2)?
a) 2
b) 9
c) 22
d) 19

Answer 1

To find (g \circ f)(2), we calculate f(2) to get 5 and then apply g to get g(5), which is 0. The result of (g \circ f)(2) is 0, none of the provided options a) 2, b) 9, c) 22, d) 19 are correct.

Step-by-step explanation:

The student has asked to evaluate the composition of two functions, specifically (g \circ f)(2), which means to first apply f to 2 and then apply g to the result of f(2). The given functions are f(x) = 2x + 1 and g(x) = x - 5. Let's find f(2) first:

• f(2) = 2*(2) + 1 = 4 + 1 = 5

Now we apply g to the result of f(2):

• g(f(2)) = g(5) = 5 - 5 = 0

Therefore, the answer to (g \circ f)(2) is 0, which is not one of the options provided in the question. This suggests there might be an error in the options given or the question itself.