1001 Algebra Problems.PDF

• ELEMENTARY FUNCTIONS–

701.(f ̊g)(0) =

a.^12 

b.–1

c. 2

d.undefined

702.(f(f(f(f(5))))) =
a. 0
b.–1
c. 3
d.undefined

703.Iff(x) = x^2 – 4x, then f(x+ 2) =

a.x^2 – 4x+ 2

b.x^2 – 4x–4

c.x^2 –4

d.|x– 2|

704.Iff(x) = –3xand g(x) =  2 x^2 + 1 8 , then the

domain ofg ̊ fis

a.[0,∞)

b.(–∞,0]

c.

d.none of the above

Set 45 (Answers begin on page 236)

This problem set explores some basic features of com-

mon elementary functions.

705.Determine the domain of the function

f(x) = –x.

a.(–∞,0]

b.[0,∞)

c.(–∞,0)

d.(0,∞)

For questions 701–702, refer to the functions fand g, both defined on [–5,5], whose graphs are shown here.

y

y = g(x)

(5,–4)

(–5,4)

x

1

–5–4–3–2–1 1 2 345

2

3

4

–4

–3

–2

–1

5

–5

y

y = f(x)

(2,–1)

(5,–2)

(2,2)

(–5,3)

x

1

–5–4–3–2–1 1 2 345

2

3

4

–4

–3

–2

–1

5

–5