SOLUTION: I am having difficulty with inverses of functions:
What is the inverse of the following function:
{{{f(x)=(4/x)+1}}}
Heres what I did:
{{{y=(4/x)+1}}}
{{{x=(4/y)+1}}}
{{{xy
Algebra.Com
Question 34348: I am having difficulty with inverses of functions:
What is the inverse of the following function:
Heres what I did:
When it is checked however, it does not work:
This check works, but...
This doesn't, I found the graph of the inverse of the function, but I need the equation. Please help!
Thank you,
Sally Mat
Found 2 solutions by Earlsdon, priya:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Well, you have the right idea but your algebra was a little off!
Exchange the x and y and solve for x.
Subtract 1 from both sides.
Multiply both sides by y.
Finally, divide both sides by x-1
Note! x = 1 not allowed.
Answer by priya(51) (Show Source): You can put this solution on YOUR website!
Let Y be f(x)
then the equation becomes,
Y = (4/x )+ 1
Y = (4 + x)/x (taking common divisor on the right side)
now the inverse is given by,
1/Y = x /(4+ x).
check this with x =2,
Y = 2+1 = 3
1/Y = 2/(4+2)
= 1/3
visit my site to learn maths online(mail me if interested!!)
priya
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