Question

Given the two functions below with their provided domain, which function to substitute into and find the value of f(-3)?

A. f(x) = x^2, g(x) = 2x - 1
B. f(x) = 2x - 1, g(x) = x^2
C. f(x) = x^2, g(x) = x + 3
D. f(x) = x + 3, g(x) = x^2

Answer 1

For function f(x) = 2x - 1, substituting x = -3 directly gives us f(-3) = 2(-3) - 1, resulting in f(-3) = -7.

Explanation:

We are tasked with finding the value of f(-3) given four pairs of functions f(x) and g(x) with their respective domains. Since no specific composition of functions is mentioned, we can assume we just need to evaluate -3 into the correct function f(x).

When we substitute x=-3 into the options, we find that option B provides us with a linear function f(x) = 2x - 1, which is appropriate for direct substitution without any further composition. Therefore:

f(-3) = 2(-3) - 1 = -6 - 1 = -7

Thus, the correct substitution provides us with the answer f(-3) = -7.