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![f(x)=\dfrac{4x-3}{2}\\\\y = \dfrac{4x-3}{2}\ \quad \rightarrow \quad \text{f(x) is also called y}\\\\x = \dfrac{4y-3}{2}\ \quad \rightarrow \quad \text{swapped the x and y}\\\\2x=4y-3\ \quad \rightarrow \quad \text{multiplied both sides by 2}\\\\2x+3=4y\ \quad \rightarrow \quad \text{added 3 to both sides}\\\\\dfrac{2x+3}{4}=y\ \quad \rightarrow \quad \text{divided both sides by 4}\\\\f^{-1}(x)=\dfrac{2x+3}{4}\ \quad \rightarrow \quad \text{y is the inverse}\ [f^{-1}(x)]](/tpl/images/0014/7527/f0402.png)
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