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The graphs of the functions f and g are shown above. The value of limx→4f(x)+7g(x) is___________.

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The limiting value of the expression is 38.

How to determine the limiting value of function.

The limit of a function describes the behavior of the function as its input approaches a certain value. It signifies the value that the function approaches or "approaches arbitrarily close to" as the input gets very close to a specified point.

Given the graphs of functions f and g.

lim→4 f(x) + 7g(x)

From the graph of f

lim f(x), x→ 4⁺ =3

limf(x), x→ 4⁻ = 3

So,

lim f(x), x→ 4 = 3

lim g(x), x→ 4⁺ = 5

lim g(x), x→ 4⁻ = 5

Therefore, limit of g(x) as x approaches 4 is 5.

lim→4f(x) + 7*lim→4g(x) = 3 + 7*5

= 3 + 35 = 38

The limiting value of the expression is 38.

The graphs of the functions f and g are shown above. The value of limx→4f(x)+7g(x-example-1
The graphs of the functions f and g are shown above. The value of limx→4f(x)+7g(x-example-2
User DaTebe
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