Question

Use the function rule h(q)=−7q−10 to find h(z−5). Simplify your answer.

(a) −7z+5
(b) −7z−5
(c) −7z+45
(d) −7z−45

Answer 1

After applying the function rule h(q) = -7q - 10 to h(z-5), and simplifying, we find that none of the given answer choices match the correct result, which is h(z-5) = -7z + 25.

Step-by-step explanation:

To find h(z-5) using the function rule h(q) = -7q - 10, you simply substitute (z-5) for q in the function rule:

h(z-5) = -7(z-5) - 10

Now, use the distributive property to multiply -7 by both z and -5:

h(z-5) = -7z + 35 - 10

Simplify by combining like terms:

h(z-5) = -7z + 25

None of the provided answer choices match this result, indicating there may have been an error in the options provided.