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I agree with satellite's diagnosis.

I need to show algebra for credit

sorry but there is no algebra to do here

There is no algebra to show.

math is not about algebra, math is about reasoning

ok how about 2x^3-5x+6

It is a polynomial. Those things exist for any input x which means its domain is all read numbers

again, no algebra to show

Are you sure it says find domain and not x-intercepts?

setting the function = 0 tells you where it is zero, not what the domain is

Finding the zero is not equivalent to finding the domain

those are separate problems and are unrelated

You could say that |x| >=0 for all real numbers so the domain is all real numbers.

There is no zero for f(x)=|x|+1

because |x| can never = -1

\[|x|+1\geq 1\] so it is never zero

what about 2x^3-5x+6?

Did you perhaps say domain when you meant range?

No, I need to find the zero

|dw:1327795208134:dw|

\[2x^2-4x+3=0\]
solving this equation will give you the other two zeros