Question

f(x) = 3x + 1; g(x) = 5x - 1

Find f/g.

Answer 1

I would like an explanation:)

Answer 2

divide

Answer 3

i.e. write a big fraction bar, put \(f(x)\) on top and \(g(x)\) on the bottom

Answer 4

So, 3x+1/5x-1? with what restriction?

Answer 5

\[(f/g)(x) = \frac{f(x)}{g(x)}\]

Answer 6

yes, like that
restriction is that the denominator cannot be zero, so write
\[5x-1=0\] and solve for \(x\)

Answer 7

1/5....But how'd you get that equation?

Answer 8

the denominator is \(5x-1\) right?

Answer 9

oh! right. Thanks!:)

Answer 10

since you are not allowed to divide by zero (division by zero is undefined) i set it equal to zero

Answer 11

yw