Linear Functions And Their Slope Worksheet Page 18
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23To verify if 2 given functions are inverses
f g x
x
g f x
x
f and g are inverses if:
AND
Determine if the following 2 functions inverses of each other
x
2
1
2
2
and
f x
3
x
2
and
g x
4
x
20
g x
f x
x
5
f x
and
g x
5
4
3
x
5
x
To Find an Inverse from an Equation (given the function is 1 – 1)
Steps:
1. Change
f x to y
1
f
x
Note:
is notation for the inverse of f(x).
2. Switch all x’s and y’s
Pronounced: “f inverse of x”.
3.
Solve for y
1
f
x
1
is NOT “f to the negative 1 exponent”
4.
Change y to
f
x
1
1
2
Find
for
Find
for
f
x
f
x
1
Find
for
f
x
f x
x
3
f x
2
x
7
f x
4
x
1
Unit 3 Page 18 of 23
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