Question

Given the two functions below with their provided domain, determine which function to substitute into and find the value of f(- 3) . Provide your numeric answer as well as a detailed response on how you determined your answer and why you believe correct. f(x) = 2x - 5 if x <= - 3 OR f(x) = - 3x + 4; x > - 3

Answer 1

f(x) = 2x - 5 is valid if x is less or equal to -3, while f(x) = -3x + 4 is valid only if x is greater than -3.

Therefore, we have: f(-3) = 2*(-3) - 5 = -6 - 5 = -11