Answer :

It is given that R be a function defined as f (x) = .

Let y be any element of Range f.

Then, there exists x ϵ R - such that y = f(x)

⟹ 3xy + 4y = 4x

⟹ x(4 – 3y) = 4y

⟹ x =

Let us define g: Range f → R - as g(y) =

Now, (gof)(x) = g(f(x)) =

And, (fog)(y) = f(g(y)) =

Therefore, gof = and fog = I_{Range f}

Thus, g is the inverse of f

Therefore, The inverse of f is the map

: Range f → R - , which is given by g(y) =

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

| Let * be a binaMathematics - Board Papers

Find the idMathematics - Board Papers

Let f : A →Mathematics - Exemplar

Show that the binMathematics - Board Papers

Determine whetherRD Sharma - Volume 1

Fill in theMathematics - Exemplar