Thursday

July 24, 2014

July 24, 2014

Posted by **Dee** on Monday, October 21, 2013 at 5:54pm.

f(x) = 1/x − 2

and

g(x) = 1/x − 3

. Determine the domain of the composite function. (Enter your answer using interval notation.)

g compose f

_____?

& Find the composite function.

(g compose f)(x) = _____?

- college algebra -
**Steve**, Monday, October 21, 2013 at 6:53pmg(f) = 1/(f-3) = 1/(1/(x-2)-3) = (2-x)/(3x-7)

So, the domain is all reals except where

3x-7 = 0

or

x-2=0 (because f(2) is not defined)

or

f(x) = 3 (because g(3) is not defined)

**Related Questions**

biology - Given the part of the molecule shown below, can the underlined atom ...

algebra - Which of the following is equivalent to the expression (t2 − t...

College Algebra - Find the equation of the parabola y = ax2 + bx + c that passes...

Math (algebra) - Let x=2013, y=140542, z=−142555. Find [(x−y)/z + (y...

college algebra - Use long division to perform the division. (Express your ...

college Algebra - Write the system as a matrix and solve it by Gauss-Jordan ...

linear algebra - solve using gauss jordan 10y − 4z + w = 1 x + 4y − ...

Product of Roots of Sums of Products of Difference - What is the product of all ...

college algebra - 9 − 34 − 3(2)

math - The number 27+200−−−√−−−−...