Question

H(x)=-2x-10
H(8)
Find x if h(x)=14

Answer 1

Part 1

Plug in x = 8 and simplify

h(x) = -2x-10

h(8) = -2(8)-10

h(8) = -16-10

h(8) = -26

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Part 2

Replace h(x) with 14. Follow PEMDAS in reverse to solve for x.

h(x) = -2x-10

14 = -2x-10

14+10 = -2x

24 = -2x

24/(-2) = x

-12 = x

x = -12

If x = -12, then h(x) = 14

In other words, h(-12) = 14

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Check:

h(x) = -2x-10

h(-12) = -2(-12)-20

h(-12) = 24-20

h(-12) = 14