Monday

October 20, 2014

October 20, 2014

Posted by **zachary** on Tuesday, March 19, 2013 at 11:44pm.

f(X) = 1/X-5,g(x)-6/x

question 2

find inverse, domain range and asymatotes of each function

f(x)=3+e^4-x

can some one help me please been stuck on these for 2 days need help solving thank you

- urgent urgent algebra -
**Steve**, Wednesday, March 20, 2013 at 11:27amassuming a typo, I see

f(x) = 1/(x-5)

g(x) = 6/x

so, f◦g = f(g) = 1/(g-5)

= 1/((6/x)-5)

= 1/((6-5x)/x)

= x/(6-5x)

check for some value, say, x=2:

g(2) = 3

f(3) = -1/2

(f◦g)(2)=2/(6-5*2) = 2/-4 = -1/2

y=3+e^(4-x)

y-3 = e^(4-x)

ln(y-3) = 4-x

x = 4 - ln(y-3)

so, f^-1(x) = 4 - ln(x-3)

domain of f is all reals

range is y>3

asymptote is y=3

**Answer this Question**

**Related Questions**

algebra - 1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). ...

math - find the domain of the composite function fog. f(x)=x/x-2;g(x)=-8/x a. ...

College Algebra - Find the inverse of the function below. Graph the function ...

college algebra, Please help!! - find the domain of the composite function of ...

Pre-calculus - Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19...

pre calculus - Find the inverse of the function below. Graph the function below ...

Math 3 - Find the inverse of the function f(x) = 5 – e^(x-1). Determine the ...

college algebra - f(x)=√x-2 Find the domain of the function is it x-2 the ...

Domain of composite function - Find the domain of the composite function fog. f(...

college algebra--I really need help!! - Find the domain of the composite ...