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