Posted by **Sckricks** on Thursday, October 17, 2013 at 12:27pm.

If f'(x) = 2xln(-4(x^2-2.75))+(2x^3)/(x^2-2.75) find the domain.

- Calculus -
**Reiny**, Thursday, October 17, 2013 at 12:37pm
remember we can only take logs (or ln) of positive numbers, so

-4(x^2 - 2.75) > 0 also for 2x^3/(x^2 - 2.75), the denominator cannot be zero

But we already included that in our first restriction

-4(x^2 - 2.75) > 0

x^2 - 2.75 < 0

x^2 < 2.75 --- > x^2 < 11/4

- √11/2 < x < √11/2

- Calculus -
**Steve**, Thursday, October 17, 2013 at 12:40pm
since ln(x) has domain x>0, we need

-4(x^2-2.75) > 0

-√11/2 < x < √11/2

Note that this also works for the 2nd term, since it must be nonzero. That is,

x ≠ √11/2

## Answer this Question

## Related Questions

- Algebra 2 - e^(x-2)-12^(2x+3)=0 Class is a college level math prep. Sorry for ...
- calculus - for the given functions f&g, find the following and state the domain ...
- calculus - for the given functions f&g, find the following and state the domain ...
- calculus - for the given functions f and g, find the following and state the ...
- Pre-calculus - Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19...
- Pre-Calculus Help, thanks:) - Find the domain of f(x) = 1/ (square root 2x^2-7x-...
- Calculus - Find the functions a) f o g, b) g o f, c) f o f, d) g o g, and their ...
- calculus - given the following piecewise function x+11 for -9<=x<-3 y= { 2...
- Pre-calculus - what is the domain of f[g(x)]? A.all the elements x in the domain...
- Math - The domain of g(x) is -1< x < 9 What is the domain of g(x - 4) I ...

More Related Questions