Question

How would I get x-1 alone or do I just input 3 as x and het the answer 3?

Answer 1

Answer

x = 3

Step-by-step explanation

Given the function:

$f(x)=\frac{6}{x-1}$

If the function equals 3, that is, f(x) = 3, then:

$3=\frac{6}{x-1}$

Multiplying by (x - 1) at both sides:

$\begin{gathered} 3{}\cdot(x-1)=\frac{6}{x-1}\cdot(x-1) \\ 3{}\cdot(x-1)=6 \end{gathered}$

Dividing by 3 at both sides:

$\begin{gathered} \frac{3(x-1)}{3}=\frac{6}{3} \\ x-1=2 \end{gathered}$

Adding 1 at both sides:

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