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100
(6p
7
)
2
36p
14
100
-5y
3
+ 8y
3
- y
3
2y
3
100
For f(x) = 4x
3
- x
2
+ 5, find f(3).
104
100
(3x
4
)(5x
3
)
15x
7
100
(15x
2
- 12x + 3)/3
5x
2
- 4x + 1
200
(3/7)
-2
49/9
200
5x
2
y - 6xy
2
+ 9x
2
y + 13xy
2
14x
2
y + 7xy
2
200
For f(x) = 10x
2
- 2x and g(x) = 2x, find (f + g)(2).
40
200
-2(8x
3
- 9x
2
)
-16x
3
+ 18x
2
200
(5m
3
- 9m
2
+ 10m)/(5m
2
)
m - 9/5 + 2/m
300
(x
-4
y
2
)/(x
2
y
-5
)
y
7
/x
6
300
(3a
5
- 9a
3
+ 4a
2
) + (-8a
5
+ 8a
3
+ 2)
-5a
5
- a
3
+ 4a
2
+ 2
300
For f(x) = x
2
and g(x) = x + 3, find f(g(4)).
49
300
(5x
2
)(-4x
2
+ 3x - 2)
-20x
4
+ 15x
3
- 10x
2
300
(2x
2
+ x - 10)/(x - 2)
2x + 5
400
(3x
2
/y)
2
(4x
3
/y
-2
)
-1
(9x)/(4y
4
)
400
(-6m
2
- 8m + 5) - (-5m
2
+ 7m - 8)
-m
2
- 15m + 13
400
For f(x) = 4x - 1 and g(x) = x
2
+ 5, find f(g(x)).
4x
2
+ 19
400
(3x - 4)(2x
2
+ x)
6x
3
- 5x
2
- 4x
400
(2p
3
+ 5p
2
+ p - 2)/(2p + 2)
p
2
+ 3p/2 - 1
500
[(-4m
5
n
4
)/(24mn
-7
)]
-2
36/(m
8
n
22
)
500
5k - (5k - [2k - (4k - 8k)]) + 11k - (9k - 12k)
20k
500
For f(x) = 4x - 1 and g(x) = x
2
+ 5, find g(f(x)).
(4x - 1)
2
+ 5 = 16x
2
- 8x + 6
500
(x - 2)
3
x
3
- 6x
2
+ 12x - 8
500
(3x
3
- 2x + 5)/(x - 3)
3x
2
+ 9x + 25 + 80/(x - 3)