WorksheetsComposition and Inverse
Total questions: 7
Worksheet time: 32mins
Name
Class
Date
1.
f(x) = 2x - 5
g(x) = -4x - 2
Find f(g(-2))
a)
25
b)
-25
c)
-7
d)
7
2.
h(x) = -4x + 3
g(x) = 4x - 2
Find h(g(6))
a)
-107
b)
107
c)
-85
d)
85
3.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))
g(x) = x - 2
Find f(g(5))
a)
19
b)
23
c)
-10
d)
None of these.
4.
If f(x) = x2 and g(x) = 3x - 1, find f(g(x))
a)
9x2 - 6x + 1
b)
3x - 1
c)
3x2 - 1
d)
9x2 - 1
5.
Given f(x) = 2x and g(x) = x2+3 , find f(g(x)).
a)
x2+2x+3
b)
4x2+3
c)
2x2+3
d)
2x2+6
6.
Find the inverse of f(x) = −4x − 12
a)
f−1(x) = 4x − 3
b)
f−1(x) = −41x − 3
c)
f−1(x) = −41x + 3
d)
f−1(x) = 4x + 3
7.
Find the inverse of f(x) = x2 − 5; x≥a
a)
f−1(x) = x + 5
b)
f−1(x) = x − 5
c)
f−1(x) = x + 5
d)
f−1(x) = x − 5
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