Consider the function f (x) = ||x – 3| – 2| f (3) is the following

Q: Find the maximum and minimum values of the function f (x) -3x on the interval 1+x2 0<x<6.

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Q: The function f(x) = Vx – 2 + V4 – x is.

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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: find the rules for the composite functions f o g and g 0 f  f(x) = 6x^2 + 3x +8  g(x) = x + 1

A: given: f(x)=6x2+3x+8g(x)=x+1

Q: Find the domain of the following functions: 2.x-3 (a) f(x) = V2-V3-x

A: Domain of the function contains all the values of x that can be put in the function. There are some…

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

A: Given:            fx=x+3  and  gx=x2-2

Q: Find (f*g)(2) for the following functions. f(x)=x^3+x^2 and g(x)=x^2-1

A: To find (f*g) (2).

Q: Consider the functions f(x) = x² – 5x + 4, g(x) = x² + 5x + 6 and h(x) = x² + x f(x) g((x) 3 h(x) a)…

A: We can solve this using definition of function

Q: ) Find (f-g)(x) for the given functions. f(x)=3x²-x+5 and g(x) = 5x²-3

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

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Q: 15. Find the difference quotient f(x+h) – f(x) for the function f(x) = -x² + 2x +1. h

A: The given function is fx=-x2+2x+1To find difference quotient fx+h-fxh

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

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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: Find the function such that f'(x)  = f(x) (1- f(x)) and  f(0)  = 1/2

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Q: Find a function f(2) such that f (x) = e + 7x and f(0) = - 1 f(x) =

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Q: Evaluate the function ( f − g)(1) for f(x) = x + 3 and g(x) = x2 − 2.

A: To Evaluate the function ( f − g)(1). Given that the functions are f(x) = x + 3 and g(x) = x2 − 2.

Q: Let h(x)=f(x)g(x), where f(x)=3x^2−3 and g(x)=x. What is h′(x)?

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

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

Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

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Q: Find a function f(x) such that f'(x) = 4e" – 3x and f(0) = 4 f(x) =

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Q: Consider the functions f(x) = y3x - 4 and g(x) Vx2 - 16. Find the domain of f(x) and g(x) in…

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Q: 1. Is the function f(x)= x³ + x−1 even, odd, or neither?

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Q: Evaluate the function ( f + g)(−1) for f(x) = x + 3 and g(x) = x2 − 2.

A: For two functions f and g, we have, f+gx=f(x)+g(x)

Q: Let h(x)=f(x)+g(x). If f(x)=x4 and g(x)=6x3, what is h′(−3)?

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Q: 3. Find the domain of the following functions: 2x+1 (a) f(x) = (b) g(x) = (c) h(x) = V4 -x+ Vx2 – 1…

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Q: Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x^2, what is h′(−1)?

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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: If f is a function such that f(2) = 5 and f'(x) ≥ 3 for all x, what are the possible values of f(7)?

A: The given condition for the function is:

Q: Find a function f(x) such that f'(x) = 6x² – 3 and f(0) = 1 - %3D f(x) =|

A: Given:     f'(x) = 6x2 - 3    f(0) = 1

Q: Consider the following functions. f(x) = x + 5 g(x) = 2x - 3 Use the functions to find (g o f)-1,

A: Here we need to find the Inverse of the required function. To find inverse initially we find…

Q: Consider the following function: f(x)=x^3+2x^2-8x-3 b. Find the extreme values ​​of f.

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Q: Consider the function f(x) = 12x5 + 15x¹ - 240x³ +2. f(x) has inflection points at (reading from…

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Q: 2 Consider the function f (x) = x + 6x 3 (a) Find the domain of f (x).

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

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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: Find a value of x such that f '(x) = 0.  with the function f(x)=x squareroot x+1

A: Given function is fx=xx+1  To find value of x such that f'x=0. Solution: Differentiating the given…

Q: Express f(x) in the form a(x − h)2 + k. f(x) = − 3/4x2 + 15x − 77   f(x)=?

A: Given: f(x) = − 3/4x2 + 15x − 77…

Q: Determine the function f satisfying the given conditions.f ''' (x) = 12f '' (0) = 5f ' (0) = 2f (0)…

A: But given f(0)=3, so d=3

Q: (1) For the function f(x)=x+1/x2+3,evaluate and simplify the following: (d) f (ab−1)

A: The given function is  f(x) = (x +1) /(x2 +3)

Q: Find f(x) for the function. X x + 1 f(x) = f-1(x) =

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Q: find (f o g) (4) for the following functions.  f(x) = -x -1 and g (x) = x3 + x2

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Q: Find the domain of the function 1 f (x) = - 1

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Q: 2. Given the function f defined by f(x) = 2x + 3x - 1, find: a. f(0) b. f(1/2) c. f(-3) d. f(3 - x')…

A: f(x) = 2x2+3x-1

Q: 2 a) For the function f(x) = find f' X- 3'

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Q: 8. For the function f(x)=3x+5-11, find the values of x such that f(x)=0.

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Q: Express the function h(x)=1x+7 in the form f∘g. If g(x)=(x+7), find the function f(x)

A: Given,

Q: Let h(x)=f(x)g(x). If f(x)=2x2+1,g(1)=0, and g′(1)=−1, what is h′(1)?

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Q: Consider the functions: f (x) = 3x – 1; g(x) = 1– 2x Compute fo g(54) exactly

A: Using composite function formula.

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: . Find f(x), knowing that f (x)=10-0.5x +3x and that the graph of f(x) passes through the point…

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