Question 1: Which the functions f(x), g(x) and h(x) is a one-to-one function?
f(x) = -x⁵
g(x) = 2x²
h(x) = |x|

g(x) is a one-to-one function

f(x) is a one-to-one function

f(x) and g(x) are one-to-one functions

h(x) is a one-to-one function




Questions 2-3: If , find a formula for f^-1(x) and find the domain of f^-1

f^-1(x):

f^-1(x)=x²-1

f^-1(x)=x²+1

f^-1(x)=x-1

f^-1(x)=x²+x-1



domain of f^-1:

[0, ∞)

(0, ∞)

[1, ∞)

(1, ∞)




Questions 4-5: If f(x) = 3x³ - 8, find a formula for f^-1(x) and find the domain of f^-1

formula for f^-1(x):

A     

B     

C     

D     




domain of f^-1:

(-∞, 8)

[3, ∞)

(-∞, ∞)

[-8, ∞)



Questions 6-8: Let f(x) = x² - 2x for x ≥ 1. Find the inverse f^-1 and find the domain and the range for f^-1.

formula for f^-1(x):











domain of f^-1:

[-1, ∞)

[-2, ∞)

[2, ∞)

[1, ∞)



range of f^-1:

[2, ∞)

[-2, ∞)

[1, ∞)

[-1, ∞)




Questions 9-10: Let


Find the inverse f^-1 and find the domain and the range for f^-1.

formula for f^-1(x):











domain of f^-1:

(0, 6)

(0, 6]

(0, 3]

(0, 3)




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