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1.3 Functions

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Question 48

The function f f\,f is defined by

f(x)=1x+2,x∈R,x≠−2 f(x) = \frac{1}{x+2}, \quad x \in \mathbb{R}, x \neq -2 f(x)=x+21​,x∈R,x=−2 g(x)=x2−5,x∈R g(x) = x^2 - 5, \quad x \in \mathbb{R} g(x)=x2−5,x∈R
a.

Write down the range of f(x)f(x)f(x)

[2]
b.

Find an expression for f−1(x)f^{-1}(x)f−1(x) and state its domain

[3]
c.

Solve fg(x)=12\displaystyle fg(x) = \frac{1}{2}fg(x)=21​

[3]

1.3 Functions Questions

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