roblems 1617 are worth 8 credits cach ems 113 are worth 4 cr

roblems 16-17 are worth 8 credits cach ems 1-13 are worth 4 credits each, Problems 14-15 are worth 6 credits each 1, Let f(x)-z -4 and let g(x)-+3r 28. Specify the domain of f(x)/g() let g(

Solution

f(x)/g(x)=(x-4)/(x²+3x-28)=(x-4)/(x+7)(x-4)

=1/(x+7)

Denominator should not be zero

And at x=-7 or 4 denominator become zero.

So domsin = (-infinity,-7)U(-7,4)U(4,infinity)