Question

Consider these functions.f(x) = -9x + 14g(x) = -3x²If x = 6, then f(6)=?If g(x) = -48, then x =? and x=?

Answer 1

`\begin{gathered} f(6)=-40 \\ x=+4;x=-4 \end{gathered}`

Step-by-step explanation

We have that:

`\begin{gathered} f(x)=-9x+14 \\ g(x)=-3x^2 \end{gathered}`

To find the value of f(6), we have to substitute 6 into f(x). That is:

`\begin{gathered} f(6)=-9(6)+14 \\ f(6)=-54+14 \\ f(6)=-40 \end{gathered}`

That is the value of f(6).

To find the values of x when g(x) =-48, we have to substitute -48 for g(x) in the function and solve for x:

`\begin{gathered} -48=-3x^2 \\ \Rightarrow x^2=(-48)/(-3) \\ x^2=16 \\ \Rightarrow x=\pm\sqrt[]{16} \\ x=+4;x=-4 \end{gathered}`

Those are the values of x for g(x) = -48