A bounded exponential range

A bounded exponential range

5 marks

TGM Original

Let f(x)=5-3 e-2x, x 0. Find the range of f, then its inverse with domain and range.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create free account Sign in Math tuition

Create a free account to practise similar questions.

Create free account Sign in Math tuition

Answer:\(R_{\mathrm f}=[2,5)\); \(\mathrm f^{-1}(x)=-\dfrac12\ln\left(\dfrac{5-x}{3}\right)\), \(D=[2,5)\), \(R=[0,\infty)\).

Need help? Join our JC Math tuition classes.