Problem :
If f (x) = x2 + 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)?
a) 18.
b)
3x2 + 9x + 2.
c)
x + 1.
d)
2x2 + 21x + 13.
e)
5x2 + 1.
Problem :
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)?
a)
6x - 4 + 
.
b)
9x - 6 - 
.
c)
3 - 
.
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)?
a)
6x2 + 5x - 4.
b)
8x2 - 4x.
c)
12x2 + 16x.
Problem :
If f (x) = x2 - 2 and g(x) = 2x + 1, what is the value of:
a) (f + g)(x)?
b) fg(x)?
c) fog(x)?
d) gof (x)?
a)
x2 + 2x - 1.
b)
2x3 + x2 - 4x - 2.
c)
4x2 + 4x - 1.
d)
2x2 - 3.
Problem :
If f (x) = (x - 1)2 and g(x) = 4, what is the value of:
a) (f - g)(x)?
b) fg(x)?
c) fog(x)?
d) gof (x)?
a)
(x - 1)2 - 4.
b)
4(x - 1)2.
c) 9.
d) 4.
Problem :
If f (x) = x2 - 6 and g(x) = 3x + 7, what is the value of:
a) (f + g)(x)?
b) fg(x)?
c) fog(x)?
d) gof (x).
a)
x2 + 3x + 1?
b)
3x3 +7x2 - 18x - 42?
c)
9x2 + 42x + 43?
d)
3x2 - 11.