Q53. - Algebra 1

Question

If $f(3b-1)=9b-1,$ find one possible expression for f(x).

Step-by-Step Solution

Answer

The one possible expression is $f\left(x\right)=3\left(x\right)+2$

Step 1. Given.

$f\left(3b-1\right)=9b-1$

Step 2. What to find?

We need to find the possible expression for $f\left(x\right).$

Step 3. Calculation.

$\begin{array}{l}f\left(3b-1\right)=9b-1\\ \Rightarrow f\left(3b-1\right)=9b-3+2\\ \Rightarrow f\left(3b-1\right)=3\left(3b-1\right)+2\end{array}$

Therefore, the possible expression is $f\left(x\right)=3\left(x\right)+2$.