Operations with Functions
Problems
Problem :
If
f (x) = x
2 + 3x + 2
and
g(x) = 5x + 3
, what is the value of:
a)
3f (1)
?
b)
3f (x)
?
c)
g(x)
?
d)
2f (x) + 3g(x)
?
e)
5f (x) - 3g(x)?
x + 1Problem :
If
f (x) = 3x - 2
and
g(x) = 
, what is the value of:
a)
2f (x) + 4g(x)
?
b)
3f (x) - g(x)
?
c)
fg(x)
?
Problem :
If
f (x) = 2x - 1
,
g(x) = 3x + 4
, and
h(x) = 4x
, what is the value of:
a)
fg(x)
?
b)
fh(x)
?
c)
gh(x)
?
Problem :
If
f (x) = x
2 - 2
and
g(x) = 2x + 1
, what is the value of:
a)
(f + g)(x)
?
b)
fg(x)
?
c)
f
o
g(x)
?
d)
g
o
f (x)
?
Problem :
If
f (x) = (x - 1)2
and
g(x) = 4
, what is the value of:
a)
(f - g)(x)
?
b)
fg(x)
?
c)
f
o
g(x)
?
d)
g
o
f (x)
?
Problem :
If
f (x) = x
2 - 6
and
g(x) = 3x + 7
, what is the value of:
a)
(f + g)(x)
?
b)
fg(x)
?
c)
f
o
g(x)
?
d)
g
o
f (x)
.
