F(x) = -2x + 17; g(x)=-5x - 10
What is h(x) = f(x) - g(x)?

hx = f(x) - g(x)

f(x) = -2x + 17

g(x) = -5x - 10

You can substitute/plug in (-2x + 17) into "f(x)" since f(x) = -2x + 17, and you can substitute (-5x - 10) into "g(x)" since g(x) = -5x - 10.

h(x) = f(x) - g(x)

h(x) = (-2x + 17) - (-5x - 10)      Now simplify, first distribute -1 into (-5x - 10)

h(x) = (-2x + 17) - (-1)5x - (-1)10  (two negative signs cancel each other out and become positive)

h(x) = -2x + 17 + 5x + 10   Combine like terms (terms that have the same variable and power/exponent)

h(x) = 3x + 27

In Step 4, the decimal should have been moved two places instead of one.

Step-by-step explanation: