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1.3.5 Inverse functions and their graphs (A-level only)

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Question 12

The function f f\,f is defined by

f(x)=5+ln⁡(x−3),x∈R,x>3 f(x) = 5 + \ln(x - 3), \quad x \in \mathbb{R}, x > 3 f(x)=5+ln(x−3),x∈R,x>3
a.

Find the exact value of ff(4)ff(4)ff(4)

[2]
b.

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

[3]

1.3.5 Inverse functions and their graphs (A-level only) Questions

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