Ira S. answered • 10/19/15

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a) this is in the form y=mx+b so is a line and is therefore deifened for all values of x.

b)-1/(x

^{2}+2x-3) is a rational function, or a fraction. When dealing with a fraction, the denominator cannot be 0.This means that x

^{2}+2x - 3 cannot equal 0.(x+3)(x-1) cannot = 0

x cannot equal -3 and x cannot = 1.

c) with radical equations, the expression underneath the square root sign must be greater than or equal to 0 since the square root of negative numbers lead to imaginary numbers.

So, x-6 >=0 leads to x>=6.

Hope this helped.