$f:R \to R$ is a function defined by $f\left( x \right) = 10\;x - 7.$ If $g = {f^{ - 1}},$ then $g\left( x \right) = $

JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

f:R \to R

is a function defined by

f\left( x \right) = 10\;x - 7.

g = {f^{ - 1}},

then

g\left( x \right) =

View answer and explanation

Correct option: C

\frac{{x + 7}}{{10}}

Option C (

\frac{{x + 7}}{{10}}

) is correct because it is the inverse function obtained by swapping x and y in the equation y = 10x - 7 and solving for y.

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