Question

Construct a function for f(x) in terms of m(x) where g(x) = m(x) - 2. Which of the following options correctly represents f(x)?

A) f(x) = g(x) + 2
B) f(x) = g(x) - 2
C) f(x) = m(x) + 2
D) f(x) = m(x) - 2

Answer 1

To express f(x) in terms of m(x), given that g(x) = m(x) - 2, we add 2 to both sides of the equation, which means option C) f(x) = m(x) + 2 is the correct answer.

Step-by-step explanation:

To construct a function for f(x) in terms of m(x), given that g(x) = m(x) - 2, we simply need to solve this equation for m(x). Adding 2 to both sides of the equation yields m(x) = g(x) + 2. Therefore, the correct option that represents f(x) as a function of m(x) is:

A) f(x) = g(x) + 2

However, if f(x) is in terms of m(x), and not g(x), we should look directly at the relationship given between g(x) and m(x). Since m(x) is equal to g(x) + 2, and we want to express f(x) in terms of m(x), we would substitute m(x) into our expression directly, which means that:

C) f(x) = m(x) + 2

is the correct option, when f(x) needs to be expressed in terms of, and directly equals, m(x).