53 066
Assignments Done
97,9%
Successfully Done
In October 2017
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Calculus Question for Samantha

Question #5975
Let f(x)=x/(x-6). Find a function y=g(x) so that (f*g)(x)=x.
Expert's answer
In this task we’re dealing with composition of functions. Recall the definition: function composition is the application of one function to the results of another. We need to find such function g(x) so that function f applied to it will give juxt x.

Due to the statement of the question f(x) = x/(x - 6)

To obtain function composition (f*g)(x)=f(g(x)) we have to substitute g(x) instead of x into the expression for
f(x):

as f(x) = x/(x - 6)

we have (f*g)(x) = f(g(x)) = g(x)/[g(x) - 6].

And the last expression has to be equal to x:

g(x)/[g(x) - 6]=x

Therefore

g(x) = xg(x) - 6x, so (x - 1)g(x) = 6x, and g(x) = 6x/(x - 1). Thus, g(x) is the inverse of f(x).

Dear Samantha
For you and other our visitors we created this video. Please take a look !

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question