For Exercise, refer to the functions f, g, and h defined here. f(x) = x – 4 g(x) h(x) = Vx – 5 Find (x) and state the domain in interval notation.

Q: 16. For the function g(x) = x² + x – 1, find and simplify: 9*+h)-g(x) h

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Q: For the function f(x) = 4x² + 16x + 25, find f'(x) using the definition f(x + h) – f(x) lim h→0 - h…

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Q: Find all the points of discontinuity and classify them for the functions: x² + x (i) f(x) = x3 + x²…

A: Hey, Thanks for the question , "Since you have posted multiple questions as per our guidelines we…

Q: Evaluate the function ( f/g)(0) for f(x) = x + 3 and g(x) = x2 − 2.

A: Given functions are fx=x+3 and gx=x2-2.   The objective is to find f/g0.   It is found by…

Q: For Exercise, find two functions fand g such that h(x) = (f • g)(x). h(x) = V2x + 1

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Q: For the function f (x) = 2-x² – x² +x, (a) List the x values where = 0. (b) Are all of these values…

A: Consider the given function, f(x)=2x4-x2+x Find the first derivative of the given function,…

Q: For the real-valued functions g(x)=x^2+2 and h(x)=x^2+4, find the composition g of h and specify its…

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Q: For the function f(x) = 9x² + 18x + 33, find f'(x) using the definition f(x+h) – f(x) lim h→0 h O 9x…

A: Last option is correct.

Q: Find the functions f(x) and g(x) so that h(x)= f(x)og(x)   h(x) = (x+2)^3

A: Given:- h(x)=(x+2)3  h(x)=f(x)Og(x) To find:- function f(x) and g(x)

Q: For the function f(x) -2x2 +5x + 8, evaluate and fully simplify each of the following f(x + h) = f(r…

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Q: For Exercise, refer to the functions f, g, and h defined here. f(x) = -x + 3x g(x) = h(x) = Vx + 2…

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Q: For Exercise, refer to the functions f, g, and h defined here. f(x) = -x + 3x g(x) = h(x) = Vx + 2…

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Q: Given y = 4 for all real values of x, Can y be regarded as a function of x ? Give reasons.

A: Given y = 4 for all real values of x To determine whether y can be regarded as a function of x or…

Q: For Exercise, refer to the functions f, g, and h defined here. f(x) = -x + 3x g(x) h(x) = Vx + 2…

A: To find x-intercept, solve the given equation by setting f(x)=0.

Q: let f be the function x²-C for x< 5 flx)=3x+5c for X Z 5

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Q: Find the domain of a function of the form f (x) = va – x².

A: Given function:- f(x) =√(a-x2)  To find:- Domain of given function f(x)

Q: Consider the following functions. f(x) = x2,   g(x) = √(x-7) Find the domain of (f ∘ g)(x) in…

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Q: Consider the function below. f(x) = Vx - 16x + 48 %3D What is the Domain? Enter your answer in…

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Q: For the function f(x) = 4x² + 16x + 25, find f'(x) using the definition f(x + h) – f(x) lim h→0 h 8x…

A: Given function is  fx=4x2+16x+25 To find f'(x) using f'x=limh→0fx+h−fxh

Q: For the function f defined by f(x) = x2 - 4x + 1,

A: Given function: fx=x2-4x+1

Q: Given the functions f (z) = 3x² – x,g (x) = ;4,h (x) = 9z, find go f (-1) %3D

A: I have given an answer in step 2.

Q: Evaluate the piecewise-defined function. Sx - 5 if x < 1 f(x) = ,2 %3D if x 2 1 (a) f(-1) = (b) f(5)…

A: Given that the piecewise -defined function is         f(x) = x-5    if x&lt; 1                  x2…

Q: For Exercise, determine if the function is even, odd, or neither. -x v(x) x| + 2

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Q: let f(x)= x2 . Find the value c in the interval (0,3) so that fave = f(c).

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Q: b): Apply Rolle's theorem for the function f(x) = x² + 4x over the interval -4,0]. Justify your…

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Q: Express the function h(x)=1x−9h in the form f∘g. If g(x)=(x−9), find the function f(x).

A: Topic = Functions

Q: Find ao of the function f(x) =(n - x)? – x)² |3D |

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Q: e g(

A: Given: gx=x2+1 , x&lt;c2cx     ,x&gt;0  the given function is constant so that at x=c it gives the…

Q: Let f be the function for x 7 Find the value of c that makes the function continuous.

A: Given the function  f(x) = x2-cfor x&lt;78x+3cfor x≥7

Q: Use the quotient rule to evaluate h'(a) for the given function h(x) and a. 7x 9 - 2x Provide your…

A: A detailed solution is given below.

Q: Find a and b so that the function 2x3 – 7x2 + 4, x -2 is both continuous and differentiable. a = b…

A: Function and its derivative mist be continuous so check the continuity at x= -2

Q: Consider the following functions: f(x)= x+1' and g(x) = Find the domain of (f og)(x). Enter your…

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Q: For the function f(x) = 6x² + 14x + 31, find f' (x) using the definition f (x + h) – f(x) lim h→0 h…

A: Put values of x as (x+h) in given formula then calculate the expression before put the limit.

Q: The domain for the function f(x) = V-2(x – 1) is

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Q: For Exercise, use interval notation to write the interval(s) over which f is a. Increasing. b.…

A: a) If the graph goes upwards as it goes to the right then the graph is increasing  In the marked…

Q: Find all values of x such that f (x) &gt; 0 and all x such that f (x) &lt; 0, and sketch the graph…

A: f(x)=x4-4x2=x2x2-4f(x)&gt;0⇔x2x2-4&gt;0⇔x2&gt;0 and x2-4&gt;0 or  x2&lt;0 and x2-4&lt;0⇔x∈ℝ \ 0 and…

Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.) 3-…

A: given:piecewise linear functionfx=3-x ; if x≤214-2x; if x&gt;2To find…

Q: Given the function f(x, y) = V10 – x + y, evaluate f(2, 1) and f(-9, –3).

A: Given: fx,y=10-x+y for finding value of f2,1, we put x=2,y=1 in given expression so,…

Q: For Exercise, determine if the function is even, odd, or neither. f(x) = 3(x – 4)?

A: Given function

Q: For Exercise, find the indicated functions. f(x) = 2x + 1 (g • f• h)(x) g(x) = x² h(x) = Vx

A: We write the given function as:

Q: Why is f not a function from R to R ifa) f (x) = 1 ∕ x?b) f (x) = √x?c) f (x) = ± √(x2 + 1)?

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Q: For Exercise, refer to the functions f, g, and h defined here. f(x) = -x + 3x g(x) h(x) = Vx + 2…

A: To find g*f(x) and domain in interval notation for the following functions-

Q: For the given function, where is it concave up and concave down? Give your answers in interval…

A: Concavity of the function using second derivativetest

Q: For the function f(x) = 6x² + 14x + 31, find f' (x) using the definition f(x + h) – f(x) lim h→0 h O…

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Q: For the function f(x) =-, complete the table below: f(x+h)- f(x) xh 2. 4.

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Q: Find the domain of the function f (x) = x2-1 R+ R. (-1,1) R\{-1,1}

A: Givenf(x)=xx2-1

Q: For the function f(x) = x` find f"(x), f'(0), f"(1), and f"(- 1).

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Q: 2. Let f be the function defined by 9) f (x) = x²+2x+1 ,Find: -f (3) +fヒ3)

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Q: For Exercise, find two functions fand g such that h(x) = (f - g)(x). 5 h(x) x + 4

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Q: 2. Given the function f (x) = Vx, sketch the parent function and f(x) = -2/(x + 3)+4 by using…

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