Question

If f(x-1) = 2x+3 for all values of x, what is the value of f(-3)?

Answer 1

First we need to solve

`\begin{gathered} x-1=-3 \\ x-1+1=-3+1 \\ x+0=-2 \\ x=-2 \end{gathered}`

This means that to evaluate f(-3) we take x = -2. Now we replace in the equation of the function and we have

`\begin{gathered} f(-3)=2\cdot(-2)+3 \\ =-4+3 \\ =-1 \end{gathered}`

The answer is D) -1