Exercises for Question Type 3: Finding inverses for simple functions - IB | RevisionDojo

IB
Question Type 3: Finding inverses for simple functions

Question Type 3: Finding inverses for simple functions Exercises

Question 1

Determine the inverse of $g(x) = \frac{x - 5}{7}$ .

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Question 2

Find the inverse of $u(x) = x^3 - 4$ .

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Question 3

Find the inverse of $w(x) = \frac{3x - 2}{x + 1}$ .

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Question 4

Find the inverse of the function $f(x) = 2x + 3$ .

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Question 5

Determine the inverse of $v(x) = x^2 - 9$ , given $x \geq 3$ .

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Question 6

Find the inverse of $q(x) = e^{2x} + 1$ .

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Question 7

Find the inverse function of $p(x) = \ln(3x)$ .

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Question 8

Determine the inverse of $z(x) = \log_{5}(x + 3)$ .

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Question 9

Find the inverse of $h(x) = 5 - 2x$ .

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Question 10

Find the inverse of $r(x) = \sqrt{2x + 5}$ .

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Question 11

Find the inverse function of $s(x) = \frac{1}{x + 3}$ .

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Question 12

Determine the inverse of $h(x) = 32 + 4e^x$ .

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