# College Algebra

posted by .

Verify the function f and g, are inverses of each other by showing that f(g(x))=x and g(f(x))=x Graph the functions.
f(x)=6/(1-x)
g(x)=(1-6/x)

• College Algebra -

what's the problem? Just plug and chug:

f(g) = ln(g-1) = ln(1+e^x-1) = ln(e^x) = x
g(f) = 1+e^f = 1 + e^(ln (x-1)) = 1 + x-1 = x

Just keep in mind the definition of a logarithm:

e^lnx = x
ln e^x = x

## Similar Questions

1. ### Algebra

Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(x)=(-x^2+3x+9)/(x-1) 1. Describe the domain and range for each of these functions. 2. Determine the equation(s) of any asymptotes found in the graphs of these functions, …
2. ### algebra

Verify that the functions f and g are inverses of each other by showing f(g(x)) = x and g(f(x)) = x f(x) = x^3 + 5 g(x) = 3sqrtx-5 ( 3 is inside check mark on the sqrt. I am sooo totally lost on these!
3. ### pre calculus

verify functions f and g are inverses of each other by showing that f(g(x)) = x and g(f(x)) = x. f(x)= 5/(2 -x) g (x) = 2 - 5/x
4. ### College Algebra

verify that the functions of f and g are inverse of each other by showing that f(g(x))=x and g(f(x))=x; f(x)=In(x-1),g(x)=1+e^x
5. ### Precalculus

Verify that the functions f and g, are inverses of each other by showing that f(g(x))=x and g(f(x))=x. f(x)=4-x^3 g(x)=^3ã4-x
6. ### precalculus

verify the functions are inverses of each other by showing that f(g(x)) =x show work. f(x)=6/1-x g(x)= 1- 6/x
7. ### College Algebra

Verify that the function f and g, are inverses of each other by showing that f(g(x))=x and g(f(x))=x. Graph both the functions on the same graph. Please show all of your work. f(x)=-7/x-4 g(x)=4x-7/x
8. ### College Algebra! help!

Consider the following functions f(x)= (7x+8)/(x+3) and g(x)= (3x-8)/(7-x) (a) Find g(g(x)) (b) Find g(f(x)) (c) Determine whether the functions f and g are inverses of each other.
9. ### Algebra 2

for the functions f(x) = 5x +50 and g(x) = 1/5x -10 evaluate both f(g(x)) and g(f(x)). Are these functions inverses?
10. ### Math

If the inverses of two functions are both functions, will the inverse of the sum or difference of the original functions also be a function?

More Similar Questions