Question

if f and g are continuous functions with f(3)=5 and lim x-->3 [2f(x)-g(x)]= 4, find g(3)

Answer 1

Because $f,g$ are continuous,

$\displaystyle\lim_{x\to3}(2f(x)-g(x))=2\lim_{x\to3}f(x)-\lim_{x\to3}g(x)=2f(3)-g(3)=4$
$10-g(3)=4$
$g(3)=6$

Answer 2

The value of g(3) using the limit is 6

Given :

f  and g  are continuous functions with f(3)=5

$\lim_{n \to 3} [2f(x)-g(x)]=4$

From the given limit function we replace f(3) by 5

also we replace all x by 3 to find the limit

$\lim_{n \to 3} [2f(x)-g(x)]=4\\ 2f(3)-g(3)=4\\2(5)-g(3)=4\\10-g(3)=4\\-g(3)=4-10\\-g(3)=-6\\g(3)=6$

So the value of g(3)=6

Learn more : brainly.com/question/1602360