Question

Solve for y in terms of x and replace y with the function notation

Answer 1

Given:-

$y+2x^2=3-2x$

To find f(x) and also f(3).

So now to find f(x) we keep y on left hand side and all other terms in right hand side

So we get,

$y=3-2x-2x^2=f(x)$

So the required solution is,

$f(x)=3-2x-2x^2$

So now to find the value of f(3). we substitute the value 3 in place of x. so we get,

$\begin{gathered} f(x)=3-2x-2x^2 \\ f(3)=3-2\times3-2(3)^2 \\ f(3)=3-6-18 \\ f(3)=-3-18 \\ f(3)=-21 \end{gathered}$

So the required solution is -21.