I need help finding the domain of the composite function f*g

1. f(x)= x/x+6, g(x)= 12/x+3

2. f(x)= 4x+24, g(x)= x+9

I also need help finding the domain for

f-g

3. f(x)=6x-3 g(x)= 4x-5

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- April 15th 2014, 01:37 PMLilmissmimibootsDomain of composite function
I need help finding the domain of the composite function f*g

1. f(x)= x/x+6, g(x)= 12/x+3

2. f(x)= 4x+24, g(x)= x+9

I also need help finding the domain for

f-g

3. f(x)=6x-3 g(x)= 4x-5 - April 19th 2014, 07:11 PMyeokyRe: Domain of composite function
1) f*g(x)

=f(12/x+3)

=(12/x+3)/(12/x+3)+6

=6

Domain of composite function f*g = domain of g = (minus infinity to plus infinity) exclude x=0 - April 19th 2014, 07:14 PMyeokyRe: Domain of composite function
2) f*g

=f(x+9)

=4(x+9)+24

=4x+60

Domain of composite function f*g = domain of g = (minus infinity to plus infinity) - April 19th 2014, 07:17 PMyeokyRe: Domain of composite function
3) f-g

=2x+2

Domain of function f - g = minus infinity to plus infinity (I guess this is the answer though I am not very certain) - April 21st 2014, 03:35 PMSorobanRe: Domain of composite function
Hello, Lilmissmimiboots!

Quote:

Find the domain of the composite function

Multiply by

. .

Hence: .

Domain: .

Quote:

Find the domain of

Domain: .

Quote:

Find the domain of

Domain: .

- April 21st 2014, 03:42 PMSlipEternalRe: Domain of composite function