Question

Consider the following piecewise-defined function.

. f(x)=(-x+6 if x<=-2),(4x-7 if x>-2):Evaluate this function at x=−5. Express your answer as an integer or simplified fraction.

Answer 1

To evaluate the function f(x) at x = -5, we substitute -5 into the corresponding part of the function.

Step-by-step explanation:

To evaluate the function f(x) = (-x + 6) if x ≤ -2 and f(x) = (4x - 7) if x > -2 at x = -5, we need to consider the first part of the function since -5 ≤ -2.

Substituting x = -5 into the first part, we have f(-5) = (-(-5) + 6) = (5 + 6) = 11.

Therefore, evaluating f(x) at x = -5 would result in the value 11.