Thursday

January 29, 2015

January 29, 2015

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)

**Answer this Question**

**Related Questions**

college algebra - Let f(x) = square root (x + 2) and g(x) = x^2 − 2. ...

Calculus - Find each of the following functions. f(x) = x2 − 3, g(x) = 5x...

calculus - 6) The function f(x)=4x3−18x2−480x−2 is decreasing ...

Calculus Help - The formula C =5/9(F − 32), where F ≥ −459.67...

college algebra - Let f(x) = x + 2 and g(x) = x2 − 2. Determine the domain...

Algebra 2 help - Consider the following functions. f(x) = x2 − 3x, g(x...

math - Let f (x)= x + 32 − 4 x − 13 Choose the correct interval form...

math - Consider the following 6 relations on the set of real numbers: A) y=2x&#...

Math! - Let h(x)=4-x. Use h, the table, and points on graph to evaluate the ...

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