Question

Solve the equation for y in terms of x. After that, replace y & solve with function notation f(x). Once you solve that, find f(4).y+3x^2=4f(x)=____f(4)=____

Answer 1

Given:

`y+3x^2=4`

We have that y f(x), so solve for f(x):

`\begin{gathered} y+3x^2-3x^2=4-3x^2 \\ y=4-3x^2 \\ f(x)=4-3x^2 \end{gathered}`

And for f(4):

`f(4)=4-3(4)^2=4-3(16)=4-48=-44`

Answer:

`\begin{gathered} f(x)=4-3x^(2) \\ f(4)=-44 \end{gathered}`