Question

Given y= (1-3x)/(2x+5), determine it's domain and range.

Answer 1

We have
\[y=\frac{1-3x}{2x+5}\]
Is there a x for which y cease to exist ?

Answer 2

yeah i know the x part is -5/2 because then the denominator would be zero and that's undefined, so that's the domain part, but what about the range?

Answer 3

Okay so what's the domain ?

Answer 4

OK, I got it. Yeah it's correct :)

Answer 5

\[x \in \mathbb{R}; x \neq -5/2\]

Answer 6

For range, find x in terms of y

Answer 7

uhh how?

Answer 8

oh wait i think i might be getting it one sec

Answer 9

x=(5y)/(2y+3)

Answer 10

Yeah, find y for which x doesn't exist

Answer 11

\[y \in \mathbb{R}; y \neq -3/2\]

Answer 12

Yes :D

Answer 13

thank you

Answer 14

Welcome :)