Given f(x) = 3x + 2 andg(x) = -2x - 4, find h(x) = f(x) - g(x).

All we need to do is plug in the equations for f(x) and g(x) into h(x)

Let's do it

f(x) = 3x + 2 and g(x) = -2x -4

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

h(x) = (3x + 2) - (-2x - 4)

Combine like terms

(3x) - (-2x) →     3x + 2x      → 5x

(+2) - (-4) →      2 + 4     → 6

Let's put them together

h(x) = 5x + 6

Hope I helped ! :)