January 21, 2025
Math 1A Worksheet #1
Name:
1.
Let
f (x) =
x3
x
and g(x) = x2 .
Does f = g?
2.
Let
 3
x
f (x) =
x
0
x ̸= 0
and g(x) = x2 .
x=0
Does f = g?
3.
Let
x

f (x) = |x|
0
x ̸= 0
x=0


1
and g(x) = −1


0
x>0
x<0.
x=0
Does f = g?
√
1 − x2 . What is the domain of f ?
4.
Let f (x) =
5.
Let f (x) = x3 . Is f increasing? What about the function g(x) = −f (x)?
6.
Let f (x) =
√
100 − x. Let g(x) = 100 − x2 . Let h(x) = f (g(x)). What are the domains of f, g and h?
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