# Functions f and g are defined by i. Express f(x) in the form a(x + b) 2 + c, where

## Question:

Functions f and g are defined by

i. Express f(x) in the form a(x + b)^{2} + c, where a, b and c are constants.

ii. State the range of f.

iii. State the domain of f^{−1}.

iv. Sketch on the same diagram the graphs of y = f(x), y = g(x) and y = f^{−1}(x), making clear the relationship between the graphs.

v. Find an expression for f^{−1}(x).

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## Step by Step Answer:

**Related Book For**

## Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

**ISBN:** 9781108407144

1st Edition

**Authors:** Sue Pemberton, Julian Gilbey

**Question Details**

Chapter #

**2**Section: Review Exercises

Problem: 13

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