Posted by **Kayleigh** on Tuesday, April 9, 2013 at 10:35am.

For the given functions f and g find the following and state the domain of each result f(x)=5x+1/4x-7; g(x) = 3x/4x-7

- Algebra -
**Steve**, Tuesday, April 9, 2013 at 11:18am
find the following what?

Domain of f and g is all reals except x=7/4

- Algebra -
**Kayleigh**, Tuesday, April 9, 2013 at 11:28am
a) (f+g)(x)=

what is the domain of f+g?

b) f/g(x)=

What is the domain of f/g?

- Algebra -
**Steve**, Tuesday, April 9, 2013 at 11:36am
since f and g have the same domain, f+g has the same domain as f and g.

f/g = (5x+1)/(3x)

Now, we have to exclude x=7/4 because neither f nor g is defined there.

In addition, we have to exclude x=0 because f/g is not defined there.

So, domain of f/g is all reals except 0,7/4

- Algebra -
**Kayleigh**, Tuesday, April 9, 2013 at 11:59am
f+g(x)=?

- Algebra -
**Steve**, Tuesday, April 9, 2013 at 12:04pm
eh? Just add 'em up:

(f+g)(x)

= f(x)+g(x)

= (5x+1)/(4x-7) + 3x/(4x-7)

= (5x+1+3x)/(4x-7)

= (8x+1)/(4x-7)

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