Question

Which of the following best represents the relationship between functions f and g?

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

Answer 1

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Answer:

(c) g(x) = -f(x) +1

Explanation:

We really only need to consider one point on f(x) and/or g(x). We can look at the y-intercepts.

f(0) = 4 and g(0) = -3

Looking at the answer choices, we see ...

A. -f(0) -1 = -4 -1 = -5 ≠ g(0)

B. f(0 -1) = f(-1) = 1 ≠ g(0)

C. -f(0) +1 = -4 +1 = -3 = g(0) . . . . . matches requirements

D. -f(0) = -4 ≠ g(0)

The relation between f(x) and g(x) is g(x) = -f(x) +1.