Let with and

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

Problem

Let

f(x) = kx + 2

with

k \neq 0

and

g(x) = \dfrac{x - 2}{k}

. Determine whether

g

is the inverse of

f

. State the condition(s) on

k

that you use in your conclusion.

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