Suppose that the functions h and g are defined as follows. h (x) =x-2 g(x) = (x+5)(x-5) %3D (a) Find ()(-3). h (b) Find all values that are NOT in the domain of - If there is more than one value, separate them with commas. (a) %3D h (b) Value(s) that are NOT in the domain of -

Q: Determine the domain of the function f (x, y) In(3-y) 4- x2 – y2°

A: Given function is f(x,y)=ln(3-y)4-x2-y2 Domain is the set of values for which the function is real…

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A: The critical point of the function y=fx is the point where f'x=0. The power rule of differentiation…

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Q: Obtain the TSE of f(x) = 2x² in powers of (x-1)

A: To Find: The Taylor Series expansion of function 2x-2 with center x=1

Q: find th domain of the function    h(x)= x-4/x3-25x

A: We are given : h(x) = (x - 4)/(x3 - 25x) We are required to find the domain of the function.

Q: find the intervals on which the function f(X) = x3+5x2-8x+1 is strictly increasing function

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Q: The graph of f(x) = is (increasing/decreasing) over its domain.

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Q: Graph f(x) = 1/2|x + 4 | – 5 and create a table of values f(x) = 1/2|x+4|-5 f(x) 3 2- -6 -5 -4 -3 -2…

A: Given that,f(x)=12x+4-5 x f(x) Points=(x,f(x)) -4 -0.2 A=(-4,-0.2) -1 1 B=(-1,1) 0 0.3333…

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A: To find the size of squares cut out of the box for maximum volume.

Q: If the function f (x) is continuous for all real numbers and if f (x) x²-4 when x + -2, then x+2 f…

A: f(-2) = -4

Q: Are f(x) = and g(x) = 2x + 3 the same function? Do f(x) = 2x² +3x and g(x) = 2x + 3 have the same…

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Q: Find a formula for f-(x) and (f-1)'(æ) if ƒ(x) = -V5 – x f-' (x) = (5-1)'(x) =

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Q: Discuss the continuity of the function on the closed interval.

A: Given: f(x)=x2-1x+1 The function is continuous at a point if the function returns a unique value…

Q: Find the maximum of f(x) = -x4 - 2*x3 - 8*x2 -5*x in the range of [-2, 1]

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Q: Let: f(x)=x² +, f'(x) =2x-- 21 f"x)=2+ 1. Find x- and y- intercepts of the graph of f, if it has…

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Q: 2. Given that f(x) = Vx+1 and g(x) =x² -9, find |(x) and give its domain in interval notation.

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x3 – 6x² –…

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Q: 1. Find x- and y- intercepts of the graph of f, if it has any.

A: Note: As you have posted the multiple numbers of questions, so we are going to solve the 1st…

Q: Find the constant a such that the function is continuous on the entire real line. 7sin x if x <0…

A: For a function to be continuous at x = a, it must satisfy the following condition:

Q: Find the intervals on which the function f(x) =x2 +5x2 -8x+1 is strictly increasing function

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Q: find the intervals on which the function f(X) = x3 +5x2 -8x+1 is strictly increasing function

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Q: In(2 - a) x² + y² – 16' Determine the domain of the function f(x, y)

A: The domain of a function is the values of the variables of the function that result in a defined…

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Q: Discuss the continuity of the function f(x) = {x2 − 3x if x &lt; 2 2x + 4 if x ≥ 2 on the open…

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Q: Find the constant a such that the function is continuous on the entire real line. 8sin x if x < 0…

A: For continuity of f(x) LHL=RHL     so find lhl and rhl and equate both to get a.

Q: Find the domain of the function. h(x) = In(x2 - 4)

A: To find the domain of: h(x)=ln(x2-4) Solution: We know, the logarithmic function is defined for the…

Q: Find the composition of functions. p(x) = 3x² 110. (poq)(x) 111. (qop)(x) 112. (roq)(x) q(x)=x²-2x+1…

A: Since we are given with the multiple number of question and answered according to the guidelines.…

Q: Show that the function f (x) = -x3 + 2x2 - 6x + 3 is always decreasing.

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Q: Find the greatest and least values of f(x) =x' –- 3x² +1 on the interval of [-3,2]

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Q: Find the intervals on which the function f(x)=x3+1x3 is strictly decreasing.

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Q: Find the constant a such that the function is continuous on the entire real line. 8sin x if x < 0…

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Q: Determine whether the function f(x)=5+3x if x <4…

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Q: Discuss the continuity of the function.

A: Function is not continuous at the vertical asymptotes. And to find the vertical asymptote, one need…

Q: Check the continuity of the function f(x) at x = -2 f(x) = - 6r + 3x l-6x if xs-2 if x>-2

A: Given,         The function fx at x=-2.           fx=x2+3xif x≤-2x3-6xif x&gt;-2

Q: The function f (x) = 5 + 6x + 96x 1 has one local minimum and one local maximum. - This function has…

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Q: Find all critical points of the function f(x) 3x 5x2-2x+14

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Q: Find the function g such that fog = In (2x° +7) if f(x) = In x g(x) = %3D

A: Find the function g such that  f(g(x))= ln(2x3+7) and f(x) = ln(x) .

Q: The function f is defined by f:x --> 10-(x-3)² for 2

A: To find: The value of function at . Calculation: Substitute in function.

Q: Discuss the continuity of the function f(x) = {x^2 - 3x         if x &lt; 2           {2x + 4…

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Q: The range of f(x)= -/2-x² is %3D [-/2,0] O [0,/2] [-2,2] [2, 0) [0,2]

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Q: Let f(x) = x2+ 2x-1 and g(x) = 2x- 4. Find 2f(x)- 3g(x). 2x2 - 2x - 14 -3x2 – 2x- 1 Option 1 Option…

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: The graph of f(x) = x² is transformed to create the graph of h(x) = 2f(x). Which graph best…

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Q: Find the intervals on which the function f(x) =x3+5x2-8x+1 is strictly increasing function

A: ⇒f(x)=x3+5x2-8x+1⇒f'(x)=ddx(x3)+5ddx(x2)-8ddx(x)+ddx(1)⇒f'(x)=3x2+10x-8⇒f'(x)=3x2+12x-2x-8⇒f'(x)=3x(…

Q: 2-If F(x)= -x²+2x -4 and g(x)= 1/(2x+4) find g(f(-1)) ( ".

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Q: Find f (x) for the function f(x) = х-2 ·In x+5

A: This question can be solved using the concept of inverse of function.

Q: Sketch the graph of the function. 4x +2, 4x2-1, -1 1 xs-1 k(x)

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Q: If f:[0, 3] → R is continuous, must its range be a closed interval?

A: If f:[0, 3] → R is continuous, must its range be a closed interval