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Let f: R-> R be the function defined by ...

Let `f: R-> R` be the function defined by `f(x)=4x−3` for all `x in R`. Then write `f^-1`.

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`f: R rightarrow R` defined by `f(x)=4 x-3` for all `x in R`...... [ Given ]

Let `f(x)=y`.

So, `x=f^{-1}(y) quad cdots(1)`

`Rightarrow` Now, `y=f(x)`

`Rightarrow y=4 x-3 ldots ldots` [ Given ]

`Rightarrow 4 x=y+3`

`Rightarrow x=frac{y+3}{4}`

From(1),

...
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