Inverse Functions
Math ⇒ Functions
Inverse Functions starts at 11 and continues till grade 12.
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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)?
If f(x) = 2x - 5, and f-1(x) = (x + 5)/2, verify that f(f-1(x)) = x.
If f(x) = 2x + 1 and g(x) = (x - 1)/2, what is f(g(x))?
If f(x) = 2x + 1, what is the value of x such that f-1(x) = 4?
If f(x) = 2x + 3, what is f-1(x)?
If f(x) = 2x + 3, what is the range of f-1(x)?
If f(x) = 2x + 3, what is the value of f-1(9)?
If f(x) = 4x - 5, find f-1(7).
If f(x) = x2 + 2 for x ≥ 0, what is f-1(x)?
What is the definition of the inverse of a function?
Given the function f(x) = 1/(x - 3), determine the range of f-1(x).
