Inverse Functions

Front

The inverse of the function f(x) is written as ...

Back

f ^-1(x)

Front

The inverse has been reflected over which line? Options: y = x, x = 0, y = 0, x = -y

Back

y = x

Front

Which of the following is NOT TRUE about inverse functions?

• Inverse functions are reflections of each other over the line y = x.
• You find the inverse by switching x and y in the equation.
• The domain of a function always becomes the domain of its inverse.
• The domain of a function always becomes the range of its inverse.

Back

The domain of a function always becomes the domain of its inverse.

Front

What's the best description? Options:

They are both functions, but not inverse functions.

,

They are reflected over y=x, but they are not both functions.

,

They are not reflected over y=x, and they are not both functions.

,

They are inverse functions.

Back

They are reflected over y=x, but they are not both functions.

Front

Which graph represents f^-1(x) over the same domain?

Back

Front

f(x) = -4x - 12. What is f^-1(x)?

Back

f^-1(x) = -1/4x - 3

Front

Which is f ^-1(x)?

Options: f ^-1(x) = 5x + 3, f ^-1(x) = 5x - 3, f ^-1(x) = 5x - 15, f ^-1(x) = 1/5(x) + 3/5

Back

f ^-1(x) = 5x - 3

Front

Which graph represents the functions f(x) and f^-1(x)?

Back

Front

How must the domain of f(x) be restricted such that g(x)=f^-1(x) ?

Back

x ≤ -4

Front

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

Back

(4, 1) and (6, 4)