Question

if inverse of g(x_1)=2x+3, then find the value of g(x)
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Answer 1

Step-by-step explanation:

We have,

$g^{ - 1} (x) = 2x + 3$

$let \: \: {g} (x) = y \\ putting \: \: {g}^{ - 1} (x) = x \: \: and \: \: x = y \: \: in \: \: the \: \: above \: \: expression$

$\implies \: x = 2y + 3$

$\implies \: x - 3 = 2y$

$\implies \: \frac{x - 3}{2} = y$

Hence, the required value of g(x) is

$\frac{x - 3}{2}$