Evaluate the function and simplify

[Svyatoslav]

I can not simplify this, because it gets so messy...
1/sqrt(x-13) -1/x-14

Thank you!

 

[lookagain]

> > I can not simplify this < < ,
because it gets so messy...
1/sqrt(x-13) -1/x-14

Do not tell us what you claim that you cannot do.

Show some work/comments about what you know you can do with this problem.


By the way, is this problem supposed to be

1/sqrt(x - 13) - 1/(x - 14)?



That is, is it supposed to be


\(\displaystyle \dfrac{1}{\sqrt{x - 13}} \ - \ \dfrac{1}{x - 14} \ ?\)

 

[Svyatoslav]

no need for the sarcasm.

no it is, (1/sqrt(x-13) -1)/(x-14)

I know that I can multiply by the conjugate: x +14/x+14... but that doesnt get me anywhere

 

[soroban]

Hello, Svyatoslav!

No need for the sarcasm.

This is not saracasm.

Do not tell us what you claim that you cannot do.
Show some work/comments about what you know you can do with this problem.

These are two suggestions so we can help you.

no, it is: (1/sqrt(x-13) - 1)/(x-14)

Boy, that was a great help! . . . (Now that was sarcasm.)

Now we have to guess that you meant:. \(\displaystyle \dfrac{\frac{1}{\sqrt{x-13}} - 1}{x-14}\;\text{ or }\;\dfrac{\frac{1}{\sqrt{x-13}-1}}{x-14}\)

I know that I can multiply by the conjugate: (x +14)/(x+14)
Yes, you can . . . but why would you want to?

 

[Novice]

It would be better if you would type the question properly leaving no scope for ambiguity, as still I cannot understand what you mean.
Better still, draw it and attach the picture.
But I think whatever the question is, this might help you.
x-14=(x-13)-1=(√(x-13))^2 - (√1)^2= (√(x-13)-1) * (√(x-13)+1)
This should do it.

 

[Svyatoslav]

@ soroban

It was the first one of the two that you drew up and i wasnt exactly sure what to do. that is why i asked the question.

 

[Svyatoslav]

Denis you are a genius.
I just thought it was too easy to plug in f(14) for the f(x) function to get the -1 that i originally asked, but that was exactly the case.
Thank you so much for the help