Homework SourseGiven that fx3x4 and gx4x2 calculate a fg0 b gf0 x fx gx 0 3
Given that f(x)=3x4 and g(x)=4x2, calculate (a) f(g(0))= b) g(f(0))=
| x | f(x) | g(x) |
|---|---|---|
| 0 | 3 | 1 |
| 1 | 9 | 5 |
| 2 | 8 | 3 |
| 3 | 6 | 4 |
| 4 | 1 | 2 |
| 5 | 4 | 0 |
| 6 | 5 | 7 |
| 7 | 0 | 8 |
| 8 | 2 | 6 |
| 9 | 7 | 9 |
Solution
f(x)=3x4 and g(x)=4x2,
(a) f(g(0))
=f(4-02)
=f(4)
=3(4) -4
=12-4
=8
b) g(f(0))
=g(3(0) -4)
=g(-4)
=4-(-4)2
=4-16
=-12
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i think below functions need to take the values from table
f(g(7))
=f(8)
=2
g(f(0))
=g(3)
=4
f(f(2))
=f(8)
=2
g(g(9))
=g(9)
=9
