61). Domain for 8x+3/11-x. The book says it's -3/8 but I think it should be 11, so the denominator is zero. Why is this?

Answer 1

I think maybe you're getting two concepts mixed up, but I'm not quite sure.

The _domain_ is the set of values x can take. That is every real number_except_11, since it's undefined at x=11.

The _solution_ to

(8x+3)/(11-x) = 0

(aka the y-intercept of the graph)

is x = -3/8, because when x is -3/8, we have 8x+3 = 0, so the whole thing equals zero.

Answer 2

Thanks that really cleared it up! :)