Question

If f(x) = x^2 + 1 and g(x) = x - 4, what is the equivalent value of (f ∘ g)(10)?

a) 107
b) 117
c) 99
d) 101

Answer 1

To calculate (f ∘ g)(10), first find g(10), which is 6, and then apply f to this result giving f(6) or 6² + 1, which equals 37. This result is not present in the multiple choice answers, hinting at an error.

Step-by-step explanation:

To find the equivalent value of (f ∘ g)(10), we first need to apply the function g to the value of 10, and then apply the function f to the result of g(10). The function g(x) is defined as x - 4, and the function f(x) is defined as x² + 1.

First, let's calculate g(10):
g(10) = 10 - 4 = 6.

Now we apply this result to the function f:
f(g(10)) = f(6) = 6² + 1 = 36 + 1 = 37.

Therefore, the equivalent value of (f ∘ g)(10) is 37, which is not listed in the provided multiple choice answers, suggesting a possible error in the provided options or in the interpretation of the functions.