bigboy43
11.06.2020 •
Mathematics
Calculus: Fill in the blanks: If f and g are continuous functions with f(2) = 9 and limx→2[2f(x) + 3g(x)] = 6.
Use the properties limits and
continuity to find g(2). Soln: Since we have an equation above,
working first on the left hand side: limx→2[2f(x) + 3g(x)] =
= (*)
Since f and g are both continuous and f(2) = 9. By definition,
limx→2 f(x) = = and limx→2 g(x) = (∗∗)
Now, continuing from line (∗) above together with line (∗∗) , we have
———————————————- = ————————————–= 6
——————— = 6
3g(2) = 6 − =
g(2) =
Solved
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Ответ:
Domain: Integers, quite NATURAL NUMBERS (N)
Range: 352
Step-by-step explanation:
h(x) = -8 + 360
h(x) = +352 ==> h(x) is a constant, it doesn't depend on x
The domain is the domain of the number 352 and the range is just 352.
No matter the input, the output is the same.