Test Review:Variation-Composition-Inverses,

Exp-Log ConversionAlgebra II

If x varies directly as z and k represents the constant of proportionality, what is the equation that models this variation?

x kz

If y varies inversely as x and y=12 when x=10, find y when x=15.

8

Find : 2( )

( ) 4

f x x x

g x x

2

2

( 4) ( 4)

9 20

x x

x x

:f g

What does it mean when you compose two functions and you get just ‘x’?

!They areinverses

f g or g f x

Find:

2

2( )

( ) 4

f x x x

g x x

(3) :f g

Find the inverse. Is it a function?

2( ) 5

3f x x

1 3 15( ) ; !

2

xf x yes

Find the inverse:3 8y x

1 3 8y x

What test do we use to determine if a function is one-to-one?

horizontal linetest

Which functions are 1-to-1?2 3.) 1 .) 1

3.) 7 .) 4

2

A y x B y x

C y x D y x

Band C

What is the inverse of:

4xy

4log x y

What is the inverse of:

3logy x

3xy

Convert the following to logs:2 4.) 36 .) 2A y B x y

.) log 36 2 .) log ( 2) 4y yA B x

Convert to exponential form:

3.) log 15 .) log ( 2) 7xA x B x

15 7.)3 .) 2A x B x x

What is the Domain/Range of this graph?

: 4,

: 3,

Dom

Range

What is the Domain/Range of the Inverse of this graph?

: 3,

: 4,

Dom

Range

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