Find the domain of each function using interval notation.   f(x)=4squareroot x−2  g(x)=5−8x2

Q: Find all values of x such that f (x) > 0 and all x such that f (x) < 0, and sketch the graph…

A: Given, fx=x3-3x2-9x+27

Q: Find ƒ″(x) for each function. Then find ƒ″(0) and ƒ″(2): ƒ(x) = 5x3 - 7x2 + 4x + 3

A: Given function is fx=5x3-7x2+4x+3. To find: f"x then f"0 and f"2. Solution: Power rule of…

Q: Find the domain of the function: h(x) = √(3x + 12)

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Q: Find all values of x such that f (x) > 0 and all x such that f (x) < 0, and sketch the graph…

A: fx=x3+2x2-4x-8 On simplification, we get ⇒fx=x2x+2-4x+2⇒fx=x+2x2-4⇒fx=x+2x2-22⇒fx=x+2x+2x-2…

Q: Find the domain of each function

A: we have to find the domain of the given function. G(x)=x+4x3-4x

Q: Find all values of x such that f(x) >0 and all x such that f(x) <0, and then sketch the graph of…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Given f(x)=2−12x−−−−−−√ and g(x)=−9x, find the following: a. (g∘f)(x) b. the domain of (g∘f)(x) in…

A: We have to find out composition function and domain of that

Q: Given f(x) = x2 - 1, x ≤ 0,   a. Find an equation for f -1(x).  b. Graph f and f -1 in the same…

A:

Q: Find ƒ″(x) for each function. Then find ƒ″(0) and ƒ″(2): ƒ(x) = 4x4 - 3x3 - 2x2 + 6

A: Given: fx=4x4-3x3-2x2+6 Formula Used: ddxxn=nxn-1

Q: given f(x)=1/x and f/g)(x)= x-6/x2+4x, find the function of g

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Q: Find the domain for each function and express using interval notation. I + xS^ = (x)f b. x2-25 V3x+2…

A: A detailed solution is given below.

Q: Given g(x) = Vx – 3, find (g • g)(x) and write the domain in interval notation.

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Q: Find the domain of the following function. y(x)=2In(x-1) Write answer in interval notation

A: We will use interval of existence of logarithmic function

Q: " The domain of the function f(x) = Vx2 – 12x + 32 consists of one or more of the following…

A: Given function is, fx=x2-12x+32 We can write the given function as, fx=x-8x-4

Q: m(x) = |x| + 8 %D

A:

Q: Find the domain of the function.

A: Given,

Q: Givenf(x) = x2 - 4, x ≥ 0,   a. Find an equation for f -1(x).  b. Graph f and f -1 in the same…

A: Given that f(x)=x2-4

Q: Use the function f(x)=3x2-5x, g(x)=6x-4,h(x)=5-x3 to find the following (h-g)(x)

A:

Q: Find the domain of the function. g(x) = /5x – 40 What is the domain of g? (Type your answer in…

A: The given function is: g(x) = 5x - 40 To find: Domain of the function g. Set the radical in 5x-40…

Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

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Q: Find f^-1 (x), if it exists, and graph both f(x) and f^-1 (x).  f(x)= 2x^3 -3

A: Topic  =Functions

Q: Find the domain and sketch the graph of the function.   f(x) = x2 - 2x + 1

A: Let us consider the given function. Since, the functionis a polynomial, so the domain is all real…

Q: Use the functions f(x) = x + 4 and g(x) = 2x − 5 to find the given function.

A:

Q: Given f(x) = 2/(x - 1) and g(x) = 3/x, find the domain of f ∘ g.

A: Given that: f(x) = 2x-1 , and g(x) = 3x  To find: Domain of f∘ g

Q: For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each. f(x) = x° - 6x2 + 3x…

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Q: Find the domain and sketch the graph of the function. f(x) = 2-0.4x

A: To find the domain and to sketch the graph of the function fx=2-0.4x

Q: Find the absolute extremum, if any, for the following function. f(x) = 8x - 5

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Q: Find f + g, f - g, fg, and fg of the given function f(x) = 3x - 1, g(x) = x - 5 and determine the…

A: Given function are:  f(x) = 3x - 1 g(x) = x - 5 a) f+g=3x-1+x-5f+g=3x-1+x-5f+g=4x-6f+g=2x-3…

Q: If f(x) = 3x + 7, find

A: we have been given the function f(x) = 3x + 7  we have to use the formula  f(a+h)-f(a)h          (1)…

Q: x-3 (a) f(x) = x-4 x-3 (b) g (x) = 2 x-4 x-3 (c) h (x) = 2 X +4

A:

Q: Find the value of f(g(x)) if f(x) = 4x and g(x) = x2 + 1

A: If f and g be two function defined on the set of real number and the image set of g is a subset of…

Q: Find the intervals on which the function is continuous, r+4 2-12x+32

A: Rational function are not continuous at those x values which makes the denominator zero.

Q: Given f(x) = x + 9 and g(x) = 3x2, first find f+ g, f-g, fg, and Then determine the domain for each…

A:

Q: Given f(x) = x² + 3x and g(x) = 1/x. %3D a. Find g(f(x)) b. Determine the domain of g(f(x)) and…

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Q: 4x3 f(x)%3= 4x2 - 3

A:

Q: If f(x) = 3x + 7, find [f(a + h) - f (a)]/h

A: Given fx=3x+7 To find  fa+h-fah

Q: Find the natural domain and graph the functions(answer all points) f(x) = 1 – 2x – x²

A: The domain of a function is the set of input or argument values for which the function is real and…

Q: Given functions m(x) = √√x + 14 and h(x) = x - 3, state the domains of the following functions using…

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Q: find f(a+h)-f(a) for the function  f(x)=x^2-15x+10

A:

Q: State the domain, using interval notation, of the piecewise-defined function x + 2 if 6 13.

A: Domain is related to set of x values.

Q: Use the x-intercepts to find the intervals on which the graph of f is above and below the x-axis.…

A:

Q: Given f(x) = x^2 + 2x and g(x) = 6 − x^2, find f + g, f − g, fg, and f/g . Determine the domain for…

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Q: Find the domain of the function, f(x) = 3x+6

A: EXPLANATION : fx = 3x+6 is the exponential function , there are no restrictions of the inputs on…

Q: Find the domain and range of the function. f(x) = x3

A: the given function is: fx=x3 we have to find the domain and range of the given function.   as we…

Q: Given g(x) = 2x + 5, find g(1).

A: Given that: g(x)=2x+5

Q: Find the domain and range of the function. h(x) = 4 − x2

A: Given function is,         h(x)=4-x2 We know that, The domain of the function is set of all input…

Q: Find the domain and range of the function.

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Q: Find the absolute maximum and absolute minimum values of f on each interval. (If an answer does not…

A: fx=-2x2+40x+650f'x=-4x+40To find critical pointf'x=0-4x+40=0-4x=-40x=10

Q: find the inflection points, if any, of the function. g(x)= x^3-6x

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Q: Use the functions f(x) and g(x) to find the specified function. f(x) - x+ 3 g(x) = 4x - 1 (gon-1

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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.