Question

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

1) 11 - m
2) m + 11
3) 17 - m
4) m - 17

Answer 1

The function f(m - 3) is equivalent to 17 - m.

Step-by-step explanation:

To find the value of f(m - 3), we need to substitute the expression m - 3 into the function f(x) = 14 - x. So, f(m - 3) = 14 - (m - 3). Using the distributive property, f(m - 3) = 14 - m + 3. Simplifying this expression, we get f(m - 3) = 17 - m.

Therefore, the equivalent expression to f(m - 3) is 17 - m. So, the correct option is 3) 17 - m.