Inverse Functions

Front

What does it mean to find the inverse of a function?

Back

The x's and y's are switched.

Front

The inverse of a function has been reflected over which line?

Back

y = x.

Front

Back

@@g^{-1}(x) = -rac{1}{7} oot{5}{x - 7}@@.

Front

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

Back

(Graph representation needed)

Front

Back

f^-1(x) = 4x + 28.

Front

What is an inverse function?

Back

A function that reverses the effect of the original function.

Front

How do you find the inverse of a linear function?

Back

Switch x and y, then solve for y.

Front

What is the relationship between a function and its inverse?

Back

They are reflections of each other over the line y = x.

Front

If f(x) = 2x + 3, what is f^-1(x)?

Back

Front

What is the domain of an inverse function?

Back

The range of the original function.