WorksheetsComposition and Inverse of Functions
Total questions: 15
Worksheet time: 15mins
Which is f -1(x)?
f -1(x) = 3x + 5
f -1(x) = 3x - 5
f -1(x) = 3x - 15
f -1(x) = 3x + 15
Are the following inverses of each other?
True
False
Are these inverse functions?
no
yes
no way to tell
Are f(x) =x+6 and g(x) =x-6 inverses?
Yes
No
What operation allows us to verify if functions are inverses?
Multiplying
Dividing
Adding
Composition of function
The composition of any function, f(x), and
its inverse, f-1(x) =
x
f(x)
1
0
Are these functions inverses?
Yes
No
f(x) = 3x + 10
g(x) = x - 2
Find f(g(x))
3x2 - 2
3x + 8
3x + 4
None of these.
What does it mean to find the inverse of a function?
the x's and y's are switched
the x's and y's are divided by 2
the x's and y's are made negative
the x's and y's are the same
A function, f(x), goes through (1, 4) and (4, 6), what points below does it's inverse f-1(x) go through?
(1, 4) and (4, 6)
(-4, -1) and (-6, -4)
(-1, -4) and (-4, -6)
(4, 1) and (6, 4)
Are these inverse functions?
no
yes
Find the inverse of f(x) = -4x - 12
f-1(x) = 4x - 3
f-1(x) = -1/4x - 3
f-1(x) = 1/4x + 3
f-1(x) = -4x - 3
Are these functions inverses?
No
Yes
Is the inverse function found correctly?
yes
no
Find the inverse of the function
f(x) = 3x − 5
f-1(x)=3x +5
f-1(x)=(x+5)/3
f-1(x)=3y-5
f-1(x)=3y+5
