Question

Compute (fog)(x) when f(x) = (4x^2+14x+10) and g(x) = (2/(x-3))

Answer 1

I guess I get stuck at the place where I stopped working. Should I be trying to find an LCD now? I tried that on an earlier attempt of this problem, and it didn't go so well.

Answer 2

No, you're right, now multiply both the numerator of the two latter fractions by something that will allow you to sum the fractions (with a common denominator).

Answer 3

*both the numerator and the denominator

Answer 4

Right, I multiply the numerator and denominator of the second term by (x-3) and the then the third term by (x-3)^2, right?

Answer 5

Yessir/ma'am

Answer 6

After a little more work, I'm now at [2(5x-11)(x-1)]/(x-3)^2

Answer 7

Looks right to me! I didn't go THOROUGHLY through it, but it seems like it's right. At least your manipulation and the steps you're taking are right.

Answer 8

Ok, thanks, Wolf.