OCR A-level Mathematics A · H240

Functions

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OCR format & instructions

Calculator permitted. Give clear working in the answer booklet and label each part. Formulae are provided in the official question paper.

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QUESTION PAPER

Mathematics · A levelPure mathematics · H240/01

Torus Maths original · OCR style

The function f is defined by $f(x)=x+\frac{4}x$ , $x\geq2$ .

(a)

Find the range of f and an expression for its inverse, stating the domain of the inverse.

[4]

(b)

Find the exact area between $y=f(x)$ and $y=x$ for $2\leq x\leq4$ .

[2]

Question reference: ocr-unseen-10-01Report a question →

Answer booklet

Question 1 · Show your working

(a)

Answer booklet · Question 1(a)

(b)

Answer booklet · Question 1(b)

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