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Ch.2B Review

Total questions: 8

Worksheet time: 13mins

Name
Class
Date
1.

Find  f∘gf\circ g where f(x)=x2+1f\left(x\right)=\sqrt{x^2+1}  and  g(x)=4xg\left(x\right)=4x . 

a)

4x+1

b)

 4x2+14\sqrt{x^2+1} 

c)

 16x2+1\sqrt{16x^2+1}  

d)

 4x2+1\sqrt{4x^2+1}  

2.
Find the domain:
a)
All real numbers
b)
All reals numbers except x=-1
c)
All reals numbers except x=-1 and x=2
d)
All reals numbers except x=0
3.
Which is NOT a way to verify 2 functions are inverses?
a)
Swap x and y and solve for y in one of the equations.
b)
Use the Inverse Function Property f(g(x))=x AND g(f(x))=x
c)
See if y=x is a line of symmetry.
d)
See if the functions are one-to-one.
4.

Find the inverse of  f(x)=x+5f\left(x\right)=\sqrt{x}+5 . 

a)

 f−1(x)=(x−5)2f^{-1}\left(x\right)=\left(x-5\right)^2 

b)

 f−1(x)=x2+25f^{-1}\left(x\right)=x^2+25  

c)

 f−1(x)=(x−5)2f^{-1}\left(x\right)=\left(x-5\right)^2  if x≥5

d)

 f−1(x)=x2−5f^{-1}\left(x\right)=x^2-5  

5.
An absolute value function is one-to-one.
a)
True
b)
False
6.
Factor 16x²-81
a)
(4x-9)²
b)
(4x+9)²
c)
(4x-9)(4x+9)
d)
It isn't factorable.
7.
Factor x³-64
a)
(x-8)³
b)
(x-4)(x²+4x+16)
c)
(x+4)(x²-4x+16)
d)
It isn't factorable
8.
Factor 4x3-12x2+x-3 completely
a)
(x2-3)(4x-1)
b)
(4x2)(x-3)
c)
(4x2+1)(x-3)2
d)
(4x2+1)(x-3)