Let f : R → R be the function defined by f(x) = 4x - 3 for all x … - Vidyadip

Question

Let f : R → R be the function defined by f(x) = 4x - 3 for all x ∈ R. Then write f^-1.

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Answer

We have,
f : R → R is the function defined by f(x) = 4x - 3 for all $\text{x}\in\text{R}$
Let f(x) = y. Then,
y = 4x - 3
4x = y + 3
$\text{x}=\frac{\text{y}+3}{4}$
Therefore, $\text{f}^{-1}(\text{y})=\frac{\text{y}+3}{4}$
or, $\text{f}^{-1}(\text{x})=\frac{\text{x}+3}{4}$

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