Question

Let f(x) = -2x squared + 3x - 6 and g(x) = 5 - 4x - 8x squared. Which equation shows h(x), where h(x) = f (x) + g(x)?

Answer 1

h(x) = -10x² - x - 1

Step-by-step explanation

First we have to write f(x) and g(x) in the sum:

`h(x)=f(x)+g(x)`
`h(x)=(-2x^2+3x-6)+(5-4x-8x^2)`

Then we have to add like terms. To do this we have to group the terms by the exponent of the variable:

`\begin{gathered} h(x)=(-2x^2-8x^2)+(3x-4x)+(-6+5) \\ h(x)=-10x^2-x-1 \end{gathered}`