Show that the function given below is continuous at x = - 5. 3x +14x-5 x# -5 f(x) = x+5 - 16 X= - 5 The function f(x) is continuous at x = -5 since f(- 5) = and lim, -5f(x)= implies that lim,-5f(x) Vf(-5). %3D

Q: At x = 3 + Ax, the value of the function is f(3 + Ax) = 17 - + Ax Hence, (3 + A3²) -( 17 m = lim Ax…

A: Solution: The objective is to fill the required blanks

Q: Which of the following is a point on the graph of the function 5 - 3x f(x) = 4. (-5, 5) (2,-1) (1.4)…

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Q: 15. Given the fumctions a(x) = x² + 2x- 1 and b(x), shown on the graph below, find P(x), where P(x)…

A: Given:  a(x)=x2+2x-1. b(x)=x+3. Determine the function P(x).…

Q: Let f (x) = -3 (x – 5) (x + 2) Let 8 (x) be represented by the graph below. Which statement is true…

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Q: What equation represents the transformed function g (x) that is formed by shifting the graphed of…

A: Function is given by

Q: Suppose the functions g and f are defined as follows. h(x) = -5+ 4x2 g (x) = 4 – 9x (ə) Find (4)…

A: Given that, h(x)=-5+4x2 and g(x)=4-9x. Part (a) The value of hg(x) is same as hg(x)=h(x)g(x)…

Q: Suppose that f is a function given as f(x) = -3x² - 2x - 3. Simplify the expression f(x + h). f(x +…

A: f(x)=-3x2-2x-3(i) f(x+h)=-3(x+h)2-2(x+h)-3

Q: (x3 - 3x2 +6- 2x) 10. Use a table to estimate lim X-+3 X- 3

A: Given limx→3 x3-3x2+6-2xx-3-1

Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: Given the function h, find functions f and g such that h(x) = (go f)(x). h(x) = (6+ 4x)" a. f(x) =…

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Q: Give one way to restrict the domain of the function f (x) = X4-2to make the resulting function…

A: Given function is: fx=x4-2fx=x2

Q: List the zero's of f(x) = x³ + 3x² - 4x. X =

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Q: find all existing horizontal and vertical asmptotes (if any exist) for the function. f(x) =…

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Q: Suppose we have two functions f and g defined by f(x) = 2x + 3 and g(x) = x^2 - 3x + 2. Find…

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Q: Find an expression for the function f(x) whose graph is a line passing through the points (4, 5) and…

A: Find the slope of the line. Start with the slope formula.

Q: If 3x – 2 s f(x) sx² - 3x + 7 for x2 0, find lim f(x). x-3

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Q: Vx+5-3 (a) Find lim,4 analytically. X-4 Vx+5-3 -, x * 4 (b) Let f(x) = x-4 13, x = 4 Use the three…

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Q: function notation f(3). Thanks f(x) = x(4x − 2)

A: Given function f(x) = x(4x − 2) Putting x =3 in above equation f(3) = 3* ( 4 * 3 – 2) = 3 ( 12 -2)…

Q: where is the function (5+x) / (x(x-2)) discontinuous?

A: