Suppose f and g are continuous functions such that g(9) = 3 and lim [3f(x) + f(x)g(x)] = 30. Find f(9). X→ 9

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A: Given: fx=1-x ,  x≤710-5x , x>7 When x approaches to x=7 from the left-hand side the function is:…

Q: Define g(-5) in a way that extends g(x)= 9(-5) = x² - 25 x + 8x + 15 to be continuous at x = -5.

A: We have to define g(-5) such that g(x) is continuous at x = -5.

Q: Suppose that f(x + h) – f(x) -2h(x + 3) – h? h(x + h + 3)²(x + 3)² Find the slope m of the tangent…

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Q: Let f(x) = -7 –- x². Find each of the following: f(5) – f(4) (A) 5 - 4 | f(4 + h) – f(4) (B) h f(4 +…

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Q: Q1: - Find C that make the function f(x) continuous f(x) = {| x +3 Сх+ 6 x 2

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Q: Suppose f(x) has a removable discontinuity at x=10. How do we redefine the function to make it…

A: This question can be solved using the concept of limit and continuity.

Q: 2. If function f(x) = 3²-12 is continuous at x=2, find f(x). x-2

A: We need to find f(x).

Q: Consider the function f (x) = 3 – |x – 4|| a. Graph the function and verify that f(1) = f(7) b. Note…

A: The given function is f(x)=3-x-4 The function can be redefined as  f(x)=x-1,      x<47-x,…

Q: 2х + 14 if x – 3 2 if x = - 3

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Q: f(2) = 4 and f(3) = 3. With this information, can you determine whether there exists a real number c…

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Q: 2. Let a, b be real numbers for which b > a. Let functions f,9,h be defined on a domain [a, b] in…

A: Solution is here

Q: 10, 2. The following 0.25 0.5 0.75 1 1.25 1.5 1.75 2. SO|13 12 10 8 7 4 1 0.5 Find the left-hand…

A: the left riemann sum with n=4L(P,f)=∑i=14Mi∆xiMi=value of function at left ordinate of each interval…

Q: 1. From the graph, determine the function f (x) is continuous at x = -1. f(x) 3 %3D %3D -5 -4 -3 1…

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Q: 15 10 8 10 Evaluate f(0) (a) Estimate f(4) (b) 00 2.

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Q: Let ƒ(x) = x/x - 2. Find a function y = g(x) so that (ƒ ∘ g)(x) = x.

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