what is the domain of sqrt (6x - 6) and sqrt (-5x -6)

Question

danmac0710 · Answer

You can only find SQRTs of numbers greater than or equal to zero so therefore your (6x-6) and (-5x-6) have to be obey this. SOlve those simple inequalities and you have your domain. Good luck.

danmac0710 · Answer

Do you know how to solve linear inequalities?

anonymous · Answer

unfortunately not

danmac0710 · Answer

Right:
[6x-6\ge0\]
$$6x \ge6$$
$$x \ge1$$
That's your domain...

danmac0710 · Answer

Hang on that looks weird....
first line should be:
$$6x-6\ge0$$

anonymous · Answer

thanks how do i write that in interval notation

danmac0710 · Answer

$$x \in[1,\infty[$$

danmac0710 · Answer

Actually you can just use:
$$x \ge1$$
That is also correct interval notation.

anonymous · Answer

ok about the other one

anonymous · Answer

do i set it up as -5x-6= 0 the i add 6

anonymous · Answer

and it now looks like this -5x=6

danmac0710 · Answer

If you are needing to state domains of functions you probably need to learn how to solve linear inequalities as well. Otherwise your exam will go pear-shaped!

anonymous · Answer

x=6/-5

danmac0710 · Answer

That is right

danmac0710 · Answer

except you need to use the greater than or equal to sign rather than just equals

anonymous · Answer

my software isnt accpeting the second one

danmac0710 · Answer

Oh.... try writing is as -1.2

danmac0710 · Answer

6 fifths but negative

anonymous · Answer

its still not

anonymous · Answer

did i do something wrong somewehere

anonymous · Answer

hey can you help me with this one$$1/\sqrt[4]{x ^{2}-2x}$$

anonymous · Answer

what is the domain