Math, asked by 22rsam, 7 months ago

Which represents the inverse of the function f(x) = 4x?

Answers

Answered by meghagupta0013
14

answer is f(x) =1/4x

please mark me guys

Answered by pulakmath007
2

\displaystyle\huge\red{\underline{\underline{Solution}}}

TO DETERMINE

The inverse of the function f(x) = 4x

CALCULATION

 \sf{Here \:  \: f(x) = 4x \: }

 \sf{ {f}^{ - 1}(x)   \: is \:  the \:  inverse  \: of \:  the  \: function \:  f(x) = 4x }

 \sf{Let \:  \:  {f}^{ - 1} (x) = y}

 \implies \sf{f(y) = x \: }

 \implies \sf{4y= x \: }

 \displaystyle \implies \sf{y =  \frac{x}{4}  \: }

 \displaystyle \therefore \:  \:  \: \sf{ {f}^{ - 1}(x) =  \frac{x}{4}  \: }

RESULT

 \boxed{ \displaystyle  \:  \:  \: \sf{ {f}^{ - 1}(x) =  \frac{x}{4}  \:  \:  \: }}

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