Inverse Functions
Math ⇒ Functions
Inverse Functions starts at 11 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Inverse Functions.
How you perform is determined by your score and the time you take.
When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 12
Describe the horizontal line test and its significance in determining if a function has an inverse.
Explain why the function f(x) = |x| does not have an inverse that is a function.
Find the inverse of the function f(x) = (x - 4)/5.
Given f(x) = 3x + 2, find the value of f-1(11).
Given f(x) = 4x + 7, find the expression for f-1(x).
Given f(x) = 5 - 2x, find f-1(x).
Given f(x) = ln(x), what is f-1(x)?
Given the function f(x) = x2 for x ≥ 0, what is f-1(x)?
If f(x) = 1/(x+1), what is the domain of f-1(x)?
If f(x) = 1/x, what is f-1(x)?
The process of finding the inverse of a function involves which of the following steps?
(1) Replace f(x) with y
(2) Swap x and y
(3) Solve for y
(4) All of the above
Which of the following functions has an inverse that is also a function?
(1) f(x) = x2
(2) f(x) = x3
(3) f(x) = |x|
(4) f(x) = ex
Which of the following is NOT a property of inverse functions?
(1) f(f-1(x)) = x
(2) f-1(f(x)) = x
(3) The graph of f and f-1 are symmetric about y = x
(4) The domain of f is always equal to the domain of f-1
Which of the following is the correct notation for the inverse of a function f?
(1) f-1(x)
(2) 1/f(x)
(3) f(x)-1
(4) f-1 x
A function must be ________ in order to have an inverse that is also a function.
The inverse of the function f(x) = x3 is ________.
If f(x) = 3x - 7 and g(x) = (x + 7)/3, are f and g inverses of each other?
If f(x) = x2 + 1, is f invertible on the domain of all real numbers?
True or False: If a function is not one-to-one, its inverse is not a function.
True or False: The domain of a function becomes the range of its inverse.
