Math Is Fun Forum

cxe6789

Member

Registered: 2016-03-06

Posts: 1

Math Problems

The function

for all real

. Find

.

Let

be a function such that

for x > 1. In that domain, f(x) has the form

where a,b,c,d are integers and a,b are relatively prime. Find a+b+c+d.

Last edited by cxe6789 (2016-03-06 10:21:03)

Nehushtan

Member

Registered: 2013-03-09

Posts: 957

Re: Math Problems

The function

for all real

. Find

.

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Nehushtan

Member

Registered: 2013-03-09

Posts: 957

Re: Math Problems

Let

be a function such that

for x > 1. In that domain, f(x) has the form

where a,b,c,d are integers and a,b are relatively prime. Find a+b+c+d.

The best I can do is as follows.

Now try three other values for f(x) and get three similar equations, which will enable you to solve for the four unknowns.

Since we are only interested in the sum of the unknowns, not their individual values, I doubt if this method is really efficient; nevertheless it's the best I can think of.

Last edited by Nehushtan (2016-03-07 19:09:56)

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