algebra II inverse functions
any set of ordered pairs, a pairing of input (x) values and output (y) values
the set of all the input values
the set of all output values
changes the input (domain) and the output (range) values of the original relation
domain switches w/
range switches w/
the graph of an original relation is always a _______ of the graph of the original equation over line y=x
over what line is an inverse relation reflected on
how many steps to FINDING the inverse of an equation?
step #1 (finding the inverse of an equation)
rewrite the equation switching x and y
step #2 (finding the inverse of an equation)
isolate (solve) for y
both the original relation and its inverse are functions ....
only in some cases
f and g are inverses if and only if
f ( g (x) ) = g ( f (x) ) = x
reciprocals are also what?
+, - and X, / are examples of what
what is inverse?
when graphing, what do you do with your table when graphing the inverse function
notation for the inverse of f(x)
how is f^-1(x) read as
f inverse of x
what do you use when VERIFYING that the functions are inverses
f ( g (x) = g ( f (x) ) = x
what do we use when determing if an original function has an inverse that is also a fucntion
horizontal line test
every function has an _______, but not every inverse will be a _______!