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1.5.8 Composite and inverse functions (A-level only)

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Question 14

The function f f\,f is defined by

f(x)=1+ln⁡(4x+1),x∈R,x>−0.25 f(x) = 1 + \ln(4x + 1), \quad x \in \mathbb{R}, x > -0.25 f(x)=1+ln(4x+1),x∈R,x>−0.25
a.

Find the exact value of ff(0)ff(0)ff(0)

[2]
b.

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

[3]

1.5.8 Composite and inverse functions (A-level only) Questions

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