Question

Given `g(x) = 7x - 2` and `h(x) = 4x^2 + 7` how do you find (g + h)(-3)?

Answer 1

Function operations are just as in arithmetic; when adding functions, for example, you must add the functions, combining like terms.

Explanation:

`(g + h)(x) = 4x^2 + 7 + 7x - 2`

`(g + h)(x) = 4x^2 + 7x + 5`

`(g + h)(-3) = 4(-3)^2 + 7(-3) + 5`

`(g +h )(-3) = 36 - 21 + 5`

`(g + h)(-3) = 20`

Hopefully this helps!