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Inverse and Composite Functions

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Question 13

Given that f(x)=x2−1f(x) = x^2 - 1f(x)=x2−1 and g(x)=x+1g(x) = x + 1g(x)=x+1

a.

Work out an expression for g−1(x)g^{-1}(x)g−1(x)

[2]
b.

Work out an expression for f−1(x)f^{-1}(x)f−1(x)

[2]
c.

Solve f−1(x)=g−1(x)f^{-1}(x) = g^{-1}(x)f−1(x)=g−1(x)

[4]

Inverse and Composite Functions Questions

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