Question

For which values of x is g(x) greater than f(x) f(x)=-x^2+10x+24 and g(x)=2x+4

Answer 1

Step-by-step explanation:

The functions are given below as

`\begin{gathered} f(x)=-x^2+10x+24 \\ g(x)=2x+4 \end{gathered}`

To find the values of x for which

`\begin{gathered} g(x)>f(x) \\ 2x+4>-x^2+10x+24 \end{gathered}`

By rewriting in standard form,we will have

`\begin{gathered} 2x+4\gt-x^(2)+10x+24 \\ x^2+2x-10x+4-24>0 \\ x^2-8x-20>0 \end{gathered}`

By factorization, we will have