Exercises for Question Type 4: Finding the inverses of logarithmic and exponential functions

Question 1

Skill question

Find the inverse of the function $m (x) = 5 - ln (2 x)$ .

[3]

Question 2

Skill question

Find the inverse of the function $p (x) = 4 e^{x} + 5$ .

[3]

Question 3

Skill question

Find the inverse of the function $g (x) = e^{3 x - 4}$ .

[3]

Question 4

Skill question

Find the inverse of the function $h (x) = ln (x - 1) + 2$ .

[3]

Question 5

Skill question

Find the inverse of the function $k (x) = - \frac{1}{2} ln (7 x - 1) + 4$ .

[4]

Question 6

Skill question

Find the inverse of the function $h (x) = ln (\frac{x + 2}{5})$ .

[2]

Question 7

Skill question

Find the inverse of the function $r (x) = e^{2 x} + 3$ .

[2]

Question 8

Skill question

Find the value of $f^{- 1} (2)$ for $f (x) = \frac{1}{3} ln (x)$ .

[2]

Question 9

Skill question

Find the inverse of the function $f (x) = \frac{1}{5} ln (8 x + 2)$ .

[4]

Question 10

Skill question

Find the inverse of the function $q (x) = lo g_{2} (5 x + 3) - 1$ .

[3]

Question 11

Skill question

Find the value of $f^{- 1} (3)$ for $f (x) = ln (2 x + 7)$ .

[3]

Question 12

Skill question

Find the value of $f^{- 1} (3)$ for $f (x) = \frac{1}{4} ln (3 x - 5)$ .

[3]

IB Mathematics Analysis and Approaches Question Type 4: Finding the Inverses of Logarithmic and Exponential Functions Exercises