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

Jun 19, 2016

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

#### Explanation:

$\left(g + h\right) \left(x\right) = 4 {x}^{2} + 7 + 7 x - 2$

$\left(g + h\right) \left(x\right) = 4 {x}^{2} + 7 x + 5$

$\left(g + h\right) \left(- 3\right) = 4 {\left(- 3\right)}^{2} + 7 \left(- 3\right) + 5$

$\left(g + h\right) \left(- 3\right) = 36 - 21 + 5$

$\left(g + h\right) \left(- 3\right) = 20$

Hopefully this helps!