Consider a function $h$ defined as $h(x) = |4x| + c$ , where $c$ is a constant. Given that $h(2) = -6$ , what is the value of $h(-5)$ ?

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Official Explanation

Official

We start with the function

h(x) = |4x| + c

. Given

h(2) = -6

, we can substitute to find

c

h(2) = |4*2| + c = 8 + c = -6

.…

Comments

teraJan 20, 2025

thanks for the answer

NeelakshiJun 25, 2024

thanks for taking time to upload it!

What this question tests

Your ability to solve absolute-value equations and inequalities by considering both cases.

Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.