EXERCISES

Find the domain and range of the following functions. Show your solutions and the graph of the function.

1.f(x) = -4x + 1

2.g(x) = 8

3.h(x) = (x2 2x 15) / (x + 3)

4.m(p) = (x3 1) / (x2 + x + 1)

5.v(t) = t2 + 2t + 1

6.g(s) = (s + 1) / (s 1)

9.g(x) =

10.h(x) =

Solve the following function operations.

12.Given: g(s) = x3 16 and h(s) = x 2. Find g(s) ( h(s).

13.Given: v(t) = and w(t) = . Find

a)v(t) * w(t)

b)v(t) ( w(t)

Solve the following function composition by finding fg(x) and gf(x)

15.Given: f(x) = x2 and g(x) = x2 3x

17.Given: f(x) = x2 + 5 and g(x) = 1 - x

18.Given: f(x) = and g(x) = x2 4

19.Given: f(x) = (x 3)/(x + 2) and g(x) = (2x + 3)/(1 x)

Find the inverse of the given functions if it exists.

21.h(x) = x322.f(x) = x2 1

23.g(x) = (x 1) / ( 2x 4)

24.m(p) = p2 6p + 9

25.s(t) = x2 - 9

EXERCISES

Draw a rough sketch of the graph of the following functions.

5.f(x) = 3ex

6.g(x) = e-2+x7.h(x) = 2ex-1 6

8.f(x) = 10e4-x 5_377304244.unknown

_377304472.unknown

_377304834.unknown

_377304423.unknown

_377304121.unknown