Question

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

Answer 1

x = 3

Explanation

Given the function:

`f(x)=(6)/(x-1)`

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

`3=(6)/(x-1)`

Multiplying by (x - 1) at both sides:

`\begin{gathered} 3{}\cdot(x-1)=(6)/(x-1)\cdot(x-1) \\ 3{}\cdot(x-1)=6 \end{gathered}`

Dividing by 3 at both sides:

`\begin{gathered} (3(x-1))/(3)=(6)/(3) \\ x-1=2 \end{gathered}`

Adding 1 at both sides:

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