Inverses

Front

What is the inverse of g(x)?

Back

g^-1(x)

Tags

CCSS.HSF-BF.B.4A

Front

Are these functions inverses? f(x) = x²-3, g(x) = 2x+8

Back

No

Tags

CCSS.HSF-BF.B.4B

Front

Calculate g(f(2)) if f(x) = x²-3 and g(x) = 2x+8.

Back

10

Tags

CCSS.HSF-BF.A.1C

Front

If f(x) passes through (1, 4) and (4, 6), what points does f^-1(x) pass through?

Back

(4, 1) and (6, 4)

Tags

CCSS.HSF-BF.B.4C

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function.

Tags

CCSS.HSF-BF.B.4C

Front

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

Back

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

Tags

CCSS.HSF-BF.B.4A

Front

What is the relationship between a function and its inverse?

Back

If f(x) takes x to y, then f^-1(y) takes y back to x.

Tags

CCSS.HSF-BF.B.4C

Front

How do you find the inverse of a function algebraically?

Back

Swap x and y, then solve for y.

Tags

CCSS.HSF-BF.B.4A

Front

What is the graphical representation of inverse functions?

Back

They are reflections over the line y = x.

Tags

CCSS.HSF-BF.B.4C

Front

What is the condition for two functions to be inverses?

Back

f(g(x)) = x and g(f(x)) = x for all x in the domain.

Tags

CCSS.HSF-BF.B.4B