Question

Please show work on both!ill give brainliest if both answers are correct

Answer 1

1.Answer:[-2,1)union(5,9]
Explanayion:Domain is the x values range for the graph so,in the graph we can see the x value range in which one slope is[-2,1) and another is (5,9] so,we combine them with a union sign.
Note:Round bracket* ( or )* represent the dot with open space inside which mean it is not included whereas,rectangular bracket* [or ]* represent the dot with filled black space inside whuch mean the point where the circle is located is included too.
2.Answer:Option 1 [x|x is not equal to -6 or 6].
This is because for f(x)/g(x) we will have a denomanator or( x^2 )-36 and so,as denomanator can't be 0(if it is zero the solution will be invalid) so, when x=-6,( x^2 )-36=0 which is impossible and when x=6 ,( x^2 )-36=0 so,option 1 is best choice.