Question

Consider functions f and g.

f(x) = 8x + 2

g(x) = 4x^2 + 2

Evaluate the function composition.

(f◦g)(-1) =

A) 10
B) 26
C) 16
D) 12

Answer 1

To evaluate (f∘g)(-1), calculate g(-1) first, yielding 6, then apply f to 6 to get 50. This result is not among the provided options, indicating a potential error in the question or options.

Step-by-step explanation:

To evaluate the function composition (f∘g)(-1), we first need to find the output of g when the input is -1, which will then be used as the input into the function f.

First, evaluate g(-1):
g(-1) = 4(-1)2 + 2 = 4(1) + 2 = 4 + 2 = 6

With the output from g, which is 6, we now evaluate f(6):
f(6) = 8(6) + 2 = 48 + 2 = 50

Therefore, (f∘g)(-1) = 50, which does not match any of the provided options A) 10, B) 26, C) 16, D) 12. Either there is a mistake in the question or the options are incorrect.