Find g(4) When f(4)-5 and lim[5f(x)-g(x)]=5

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step1536
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If f and g are continuous functions with f(4)-5 and lim [5f(x) -g(x) ]=5 find g(4)
x-->4
 
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It's a bit tough to read what's going on here

Is this supposed to be f(4)=5? the limit as x goes to 4 of [5f(x)-g(x)]=5? And you want to find g(4)?

If so, you should be able to manipulate your limit equation using algebra of limit rules (for example, lim(a+b) = lim(a) + lim(b)). Then you need to know what happens to a continuous function when you have it inside of a limit. What do you think happens?
 


step1536 said:
If f and g are continuous functions with f(4)-5 and lim [5f(x) -g(x) ]=5 find g(4)
x-->4

Aside from the confusion over whether you're saying that f(4) = -5 or f(4) = 5, do you want g(4) or [itex]\lim_{x \rightarrow 4} g(x)[/itex]?

If you want to get help, you really need to concentrate on presenting your problem so that people can understand what you're asking. That would include spending some time on learning what the relevant symbols mean.