Question

Which answer is the correct restriction on the domain?

x-7/x+4 ÷ x/x+3

A. x=/7,0

B. x=/7,-3

C. x=/-4,0

D. x=/-4,-3

plz help!!

Answer 1

`(x-7)/(x+4) / (x)/(x+3) = (x-7)/(x+4) * (x+3)/(x) = ((x-7)(x+3))/((x+4)(x))`
Remember that dividing by a fraction is the same as multiplying by the reciprocal (or the reverse) of the fraction on the bottom. A restriction on the domain means that x can not be that value. This occurs when the denominator is zero. If (x+4) = 0 or x = o then the denominator will be zero so the restrictions are x = -4,0. The answer is c.