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Mathematics for IGCSE & O level - Functions (Section 3 - No. 17)

If f(x) = 3x - 5 and f⁻¹(x) = (x+5)/3, which statement is correct?
f(f⁻¹(x)) should equal x
The domain of f is the same as the range of f⁻¹
The range of f is the same as the domain of f⁻¹
f(x) and f⁻¹(x) always have the same y-intercept

解释

Correct statements about the relationship between a function and its inverse

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