Learning Resources
Composition of Functions |
Answers to pre-test |
1(a) ( )(x)
= 6x - 15 |
1(b) ( )(x)
= 6x - 5 |
| 2(a) ()(x)
= 42x2 - 9 |
| 2(b) ()(x)
= 294x2 - 168x + 23 |
| 3(a) ()(x)
= x |
| 3(b) ()(x)
= x |
4(a) ()(x)
=  |
4(b) ()(x)
=  |
5(a) ()(x)
=  |
5(b) ()(x)
=  |
6(a) ()(3)
=  |
6(b) ()(3)
=  |
| 7(a) ()(1)
= -1 |
| 7(b) ()(9)
= 1 |
| 7(c) ()(1)
is not possible because g(1) = -1 and f(-1) does not exist because the function f is not defined for negative numbers. |
| 7(d) ()(6)
= 2 |
| 8(Ex 1) Domain
= {All real numbers} Domain
= {All real numbers} |
| 8(Ex 2) Domain
= {All real numbers} Domain
= {All real numbers} |
| 8(Ex 3) Domain
= {All real numbers} Domain
= {All real numbers} |
8(Ex 4) Domain
=  Domain
=  |
8(Ex 5) Domain
=  Domain
=  |