Question

Let `f(x)=(x+3)^2` and `g(x)=x+4`, how do you find `h(x)=f(x)+g(x)`?

Answer 1

Substitute the right sides of equations for the two functions into the right side of the equation for `h(x)`, expand the square, combine like terms.

Explanation:

Given: `f(x) = (x + 3)^2 and g(x) = x + 4`

`h(x) = f(x) + g(x)`

Substitute the right sides of the equations for the two functions into the right side of the equation for `h(x)`:

`h(x) = (x+ 3)^2 + (x + 4)`

Expand the square:

`h(x) = x^2 + 6x + 9 + x + 4`

Combine like terms:

`h(x) = x^2 + 7x + 13`