Question

H(x) = -2x+ 1; Find h(-4 - x)
A) 8x - 9
B) 2x + 9
C) 2x - 9
D) -8x + 9

Answer 1

To find h(-4 - x) for the function h(x) = -2x + 1, we substitute and simplify the expression to obtain 2x + 9, which corresponds to option B.

Step-by-step explanation:

The student is being asked to find the value of the function h(x) when the input is -4 - x. The original function is h(x) = -2x + 1. Here's a step-by-step explanation:

1. Substitute the input -4 - x into the function: h(-4 - x) = -2(-4 - x) + 1.
2. Apply the distributive property: h(-4 - x) = -2 * -4 + -2 * -x + 1.
3. Simplify the expression: h(-4 - x) = 8 + 2x + 1.
4. Combine like terms: h(-4 - x) = 2x + 9.

The correct answer is B) 2x + 9.