For the function defined by

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

For the function

f:\mathbb R\setminus\{-\tfrac12\}\to\mathbb R

defined by

f(x)=\dfrac{kx-3}{2x+1}

, determine all real values of

k

for which

f

is invertible.

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