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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
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
g(4) is the value of the function g at x=4.
In this case, since f(4)-5, we can say that g(4)=f(4)-5.
The limit of [5f(x)-g(x)] as x approaches 4 is equal to 5.
No, we cannot find the exact value of g(4) with just this information. We need to know either the value of f(4) or the function g(x) in order to determine the exact value of g(4).
This information tells us that as x approaches 4, the value of g(x) approaches 5. It also tells us that g(x) is related to f(x) in a specific way, where g(x) is always 5 less than f(x).