Common Core · High school

HSF-BF.B.4.A

High school — Solve an equation of the form f(x) = c for a simple function f that has an inverse, and write an expression for the inverse.

The skill that covers it

Inverse FunctionsRun a function backwards: find the inverse of a linear, rational, radical, cubic, exponential or logarithmic function, verify two functions are inverses by composing them, read an inverse off a table or a graph, and decide when an inverse is a function at all.Read the lesson →

What a student should be able to do

Find the inverse of a function algebraically by swapping x and y and solving.
Verify that two functions are inverses by showing f(g(x)) $= x$ and g(f(x)) $= x$ .
Read values of an inverse from a table or a graph, and reflect a graph in the line $y = x$ .
Use the horizontal line test, and restrict a domain so that a function has an inverse.

Every Common Core code covered by Math Vale