Warm-Up

Homework Questions
Domain Algebraically
Pre-Calculus
Mrs. Ramsey
Find the Domain

yx

y  x 4
2
2
Find the domain

y  ( x  2)

y  ( x  3)  7
2
2
Find the domain

y  x  6x 1

y  x2  4x  9
2
Find the domain

yx

y  x  2x  4x  7
3
3
2
Find the domain

y x

y  x 8
Find the domain

y  x2 6

y   4  x 1
Find the domain

y  x  5x  6
2

y  x 2  7 x  12
Rational Problems

1
y
x

x3
y
x2
More Rational Problems

2
x
y 4
x

( x  3)( x  7)
y
x7
More Rational Problems

x 4
y 2
x x  2
2
x 3
y 2
x 4
3

Rational Problems

y  x5
3

y  5 x  6 1
Log Problems

y  log( x )

y  log( x  3)
Log Problems

y  ln( x )

y  ln( x  6)
Exponential Problems

y2
x

( x  4)
y3
1
More Exponential Problems

y6
x 1

y  3
( x  2)
 11
Finding the domain:


Let f(x) = x2 – 1 and g(x) = x
f(g(x))
g(f(x))
  x

2
1
Domain is [0, ∞)
x2 1
x2 1  0
D: (- ∞ , -1]U[1, ∞ )
Find the domain
11.
Find f(g(x)) and g(f(x)) and state domain:
f ( x)  3x  2
g ( x)  x  1
Find the domain
12.
Find f(g(x)) and g(f(x)) and state domain:
f ( x)  x 2  1
1
g ( x) 
x 1
Find the domain
13.
Find f(g(x)) and g(f(x)) and state domain:
f ( x)  x 2  2
g ( x)  x  1
Find the domain
14.
Find f(g(x)) and g(f(x)) and state domain:
1
f ( x) 
x 1
g ( x)  x
Also state the domain:
Also state the domain:
Homework
 Domain
Worksheet