Finding Inverses Algebraically

Front

If a given function is logarithmic, its inverse is...

Back

exponential

Front

If an original function has a vertical shrink by a scale factor of 1/2, its inverse has...

Back

horizontal shrink by a scale factor of 1/2

Front

If an original function has a shift of 6 units up, its inverse has...

Back

shift 6 units down

Front

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

Back

the x's and y's are switched

Front

If an original function has a shift 4 units left, its inverse has...

Back

shift 4 units right

Front

What is the general process to find the inverse of a function?

Back

Replace f(x) with y, switch x and y, solve for y.

Front

What is the inverse of the function f(x) = 2x + 3?

Back

f^(-1)(x) = (x - 3)/2

Front

If a function has a horizontal stretch by a factor of 3, what happens to its inverse?

Back

It has a vertical shrink by a factor of 1/3.

Front

What is the inverse of the function f(x) = x^2 (for x >= 0)?

Back

f^(-1)(x) = √x

Front

If a function is defined as f(x) = 1/x, what is its inverse?

Back

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