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Worksheets10/25 - Wednesday - Inverse Functions
Total questions: 16
Worksheet time: 1hrs 3mins
Name
Class
Date
1.
Find the inverse of f(x)=41x−7
a)
f-1(x) = 4x + 7
b)
f-1(x) = -4x+28
c)
f-1(x) = -4x - 7
d)
f-1(x) = 4x+28
2.
Each option is a line of work that you would show if you were finding the inverse of f(x)= 2x-5.
Put the work in the correct order to find the inverse.
a)
y=2x-5
b)
2y-5=x
c)
2y= x+5
d)
y=2x+5
e)
f−1(x)=21x+25
1)
2)
3)
4)
5)
3.
Find the inverse of f(x)=10+7x
a)
f−1(x)=10x−7
b)
f−1(x)=7x−10
c)
f−1(x)=10+7x1
4.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = - 4x - 3
5.
What does it mean to find the inverse of a function?
a)
the x's and y's are switched
b)
the x's and y's are divided by 2
c)
the x's and y's are made negative
d)
the x's and y's are the same
6.
What's the name of the inverse of g(x)?
a)
f(x)
b)
f-1(x)
c)
y
d)
g-1(x)
7.
are these inverse functions?
a)
no
b)
yes
c)
no way to tell
8.
What is the inverse of the points
(1,3)(2,4)(6,8)
(1,3)(2,4)(6,8)
a)
(3,1)(4,2)(8,6)
b)
(-3,-1)(-4,-2)(-8,-6)
c)
(1,3)(2,4)(6,8)
d)
(-1,-3)(-2,-4)(-6,-8)
9.
are these inverse functions?
a)
no
b)
yes
c)
no way to tell
10.
Are these inverse functions?
a)
yes
b)
no
11.
Are these functions inverses?
a)
No
b)
Yes
c)
No way to tell
12.
Which graph represents the functions f(x) and f-1(x)?
a)
b)
c)
d)
13.
When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?
a)
solve for y
b)
replace y with f-1(x)
c)
solve for x
d)
find the greatest common factor
14.
Graph the inverse
a)
b)
c)
d)
15.
The inverse of a quadratic function is
a)
rational
b)
linear
c)
square root
d)
cubic
16.
The inverse of a cube root function is
a)
rational
b)
linear
c)
square root
d)
cubic
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