Suppose that f has domain [4, 8] and range [2, 6]. Find the domain and range of: y = 3f (x)

Q: find f(x) so that f'(x)=-4e^(x)-6sinx

A: To find f(x) from f'(x) , we have to integrate f'(x) We first separate the integral

Q: find f'(x) using the quotient rule if f(x)=(3-x^2)/(2+x^2)

A: The quotient rule of differentiation is given as, ddxuv=vdudx-udvdxv2 where u and v is two…

Q: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: 25. If f(x) = 3x² – x + 2, find f(2), f(-2), f(a), f(-a),

A:

Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: If f(x) = - and g(x) = 3x + 4, find (g - f)(x).

A: Using composition of function,

Q: The Range of f(x) = V1-x is 1. [-1, 0) 2. (-, 1] 3. (-0,0) 4. [0, 0) 1 2

A:

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: Show that f (x) = 2x2 -3 is an even function. Explain why itsgraph is symmetric about the y-axis.

A: Here given fx=2x2-3   A function is said to be an even function if f-x=fx Now…

Q: Let f (x) = 5x, g(x) = 2x² + 1, & h (x) = 6x + 2., find (go f) (x). Show your work using the…

A: fx=5x, gx=2x2+1, hx=6x+2

Q: 6 Identify any point(s) of inflection of f(x) = -3x³ + 5x³ and justify. %3D

A: The given function is: f(x)=-3x5+5x3 To find the inflection point we have to check the concavity of…

Q: Find the domain for (f- g)(x) when f(x) = v9x +7 and g(x) 10 8x

A: The domain of a function f(x) is the set of all possible values of x for which f(x)  is defined.

Q: Suppose that f(x) = 4e"- ex. Find f'(3). %3D

A: we will first find out the derivative of f(x) and then we put x=3 in the derivative to get f'(3).

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an f(x)…

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Q: Find and sketch the domain of f(x, y) = 9-x2-y2 Vy2-1 %3D What is the range of f?

A: We have to find the points where the function is defined.

Q: Find Domain and range of f(x)=x^x and graph it.

A: The objective is to find Domain and range of f(x)=x^x and graph it.

Q: (b) If f(x) = anx", specify the domain of f. %3D n=1

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Q: 4 Find the domain of f(x) x + 3

A: Given:  fx=4x+3 To Find: Domain of the given function fx

Q: Let f (x) = 2x and g (x) = 3x2 + 1, find(go f) (x). Show your work using the Equation Editor Tool.

A:

Q: Find the absolute extrema of the function f(x) = x* - 72x + 1296 on the interval [-7,7].

A: To find: The absolute extremum of the given function

Q: Find f such that f'(x) = 2x + 5x - 3 and f(0) = 7. f(x) =

A: Integration both side with respect to x

Q: Find f(5) and f (x² + 3) for the function f(x) = -x + 2 %3D

A: Given,           f(x) = -x + 2

Q: How many points of inflection does the function f(x)=x7-x2 have?

A: We have to find number of inflection point for the function: fx=x7-x2 We know that inflection points…

Q: Find f such that f'(x) = x² +4 and f(0) = 3.

A:

Q: Find the length of the function f(x)=25-(1/2)x from x=3, and x=6 Length=

A: given f(x)=y=25-x2diffrentiatedydx=-12

Q: Let flx)=-x²-x+6 and g(x)=2x+5 , find f(g\x))

A:

Q: Find f', f'', f'" and f (4) for the function. f(x) = x° – 2x + 4x - 4 %3D

A: Given fx=x6-2x5+4x-4 Power rule of differentiation states that: ddxxn=nxn-1 Differentiating the…

Q: Find f such that f'(x)= 6x-5, f(2) = 0. f(x) =|

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Q: Find f(x) such that f'(x) = 2x4-7x and f(2)=3

A:

Q: find the extreme values on the interval f (x) = x2/3 − 2x1/3, [−1, 3]

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

A: Given data: The expression for the function is f : [0,3]→R. The continuous image of the open bounded…

Q: Find the range of the function for the domain {−2,0,4}. Show your work. f(x)=5x2+4

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Q: Find and sketch the domain of the function. f(x, y) - In(4x2 - 4y²) y

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Q: Find and sketch the domain of f(x, y) = 9-x²-y² /y²-1 What is the range of f ?

A: Find the attachment

Q: If f(z) = 19z+ 24, find f'(-3).

A: Here, the given function is: f(x)=19x+24

Q: (b) If f(x) = anx", specify the domain of f. %3D

A:

Q: Find f '(x) given that f(x) = (2r³ + 3x²-5)(5x² - 2r+1) Show your work

A: We will use the product rule of differentiation to find the derivative

Q: Find f such that f'(x)= 7x +7x-2 and f(0)= 8.

A:

Q: evaluate the function for the given value of x. f(x)=x2-4x, g(x)=4x-3, (f of g)(2)=?

A: In order to find (f of g)(2), first find the  (f of g)(x).

Q: - Find f for f"(x) 5x³ + 6x² + 2, f(0) 3 and f(1) = -2.

A:

Q: 3. Given that f(x) = -x³ + 4x- – . Evaluate the value of f"(-)

A:

Q: If we restrict the domain of f(x)=x²+5 to (-2, 1), then the range of f(x) is?

A:

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

A:

Q: 3. If f(x) = 2x + 5, find f(-1) %3D a) Using evaluation: fo-2x +5 b) Using graph:

A: Given,          fx=2x+5

Q: Find the domain and range of the function: 1 1- V5 - x

A:

Q: a) Determine the domain and range of the function z = 4 - V9 - (x² + y?).

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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: If fis a function defined as f(x) =x* +2x-5x² +4x - 1, how many points of inflection does f have?

A:

Q: Find f such that f'(x) = 5x +9x -4 and f(0) = 8. f(x) 3=

A: we will integrate and  solve

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.