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Inverse and Composite Functions

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Question 24

Given that f(x)=3x+1f(x) = 3x + 1f(x)=3x+1 and g(x)=x2g(x) = x^2g(x)=x2

a.

Find fg(x)fg(x)fg(x)

[2]
b.

Work out an expression for gf(x)gf(x)gf(x)

[2]
c.

Solve fg(x)=gf(x)fg(x) = gf(x)fg(x)=gf(x)

[3]

Inverse and Composite Functions Questions

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