Let be defined by .

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let

h: \mathbb{R} \to \mathbb{R}

be defined by

h(x) = 5e^{2x} - 7

. (i) Prove that

h

is one–one and onto. (ii) Obtain

h^{-1}(x)

. (iii) Using your result, solve

h^{-1}(13) = k

and find the value of

k

.

Related theory

Browse the problem library