Question

Limits help

Answer 1

\[\Large If~~ \mathbb{f}~~and~~\mathbb{g}~~are~~continuous~~functions~~with~~\]
\[\LARGE \mathbb{f(2)=3}~and\]
\[\LARGE\lim_{x \rightarrow }~[3f(x)-g(x)]=5\]
\[\LARGE \mathbb{find~~g(2)}\]

Answer 2

That's suppose to be x->2

Answer 3

use limits law

Answer 4

Lim x->a [f(x) + g(x)] = limx->a f(x) + lim x-> a g(x)

Answer 5

So based on that ..
\[\LARGE \lim_{x \rightarrow 2}~g(2)=4\]

Answer 6

3f(x) - 5

3(3) - 5 = 4

yep

Answer 7

Alright, thanks again~