Question

Given the function f(x) = 14 - x, which of the following is equivalent to f(m - 3)?

A) f(m - 3) = 17 - m
B) f(m - 3) = 11 + m
C) f(m - 3) = 14 - m
D) f(m - 3) = 17 + m

Answer 1

To find the expression for f(m - 3), replace 'x' in the given function f(x) = 14 - x with (m - 3). After simplifying, the equivalent expression is f(m - 3) = 17 - m.

Step-by-step explanation:

The student asked which of the following is equivalent to f(m - 3) given the function f(x) = 14 - x. To find f(m - 3), simply substitute (m - 3) in place of x in the original function:

• f(m - 3) = 14 - (m - 3)
• f(m - 3) = 14 - m + 3
• f(m - 3) = 17 - m

Therefore, the equivalent expression for f(m - 3) is 17 - m, which corresponds to option A.