Question 16 of 18 in Algebra 8

Algebra 8

2 marks · Hard

Let . Write down the equation of the inverse function .

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Also accept: h^{-1}(x) = (x+7)/2

Common mistakes: Switching signs incorrectly or dividing by the wrong number

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Marking points

M1 · 1 mark · Correct method to rearrange y = 2x - 7 to express x in terms of y.

A1 · 1 mark · Correct final form: or equivalent.

Worked solution

Let .

Swap x and y: .

Rearrange: .

So the inverse function is .

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