Find the domain and range of each function.                                                    a. f(x) = √(x − 1)                    b. g(x) = √(4 − x2)

Q: (c) Determine the values of x for which the function f (x) = {x+ 2 2x2 x5 is discontinuous. x25

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Q: Find the values of b such that the function has the given maximum or minimum value.f(x) = −x2 + bx −…

A: Given function is: fx=-x2+bx-75 Then we get, f'x=ddx-x2+bx-75⇒f'x=-2x+b Then the maximum or minimum…

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 and range of the function.

A: Domain of the function is the set of value of x that can put in the function so that y or f(x) gives…

Q: Find the domain of the function f(x)=14x+9f(x)=14x+9. What is the only value of x not in the domain?…

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Q: What value of x makes the discontinuity of the function x² – 4 f(x) = removable? x2 — х-6

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Q: Find the domain and range of the function. g(x) = x² – 9

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Q: Use the functions f(x) = 1 8 x − 3 and g(x) = x3 to find the given value.

A: f=18x-3, g=x3Assign the function g=x3=x3-1fx-1· 3Assign the function f=18x-3=x3-118x-3-1· 3=16x4-x3

Q: find the domain and range of the given function x2 + x f(x) x3 - 9x2 + 2x

A: Find the domain and range of the given function

Q: Find the domain and range for the function f(x) = LO T 5 3x 1- e

A: Find the domain and range of the function fx=51-e3x

Q: What values of x would be found in the in the domain of function f(x)=10/x-2

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Q: find the domain and range of the given function x2 + X f(x) x³ – 9x2 + 2x -

A: Here, we need to find the domain and range of  fx=x2+xx3-9x2+2x. We know that,  The domain of a…

Q: Find the open intervals on which the function is increasing or decreasing.

A: A function f(x) is:  (i) increasing on an interval (a, b) if f'(x)>0 for all elements of a, b.…

Q: Consider the problem of maximizing the function -x? f(x)=- +3x 10 where x is allowed to vary between…

A: Given that, f(x)= 3x-(x²/10) Here, f is a polynomial function in x. So, f is continuously…

Q: 16 The range of the function f (x)=6x-8 is all integers numbers. صواب O خطأ

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Q: How many x-intercepts would the function shown below have? f (x) = –2x(x² + 4)(x+9)(x² – 2)(x + 9)…

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Q: ind the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)…

A: Explanation: Given that,  g(x)=4x3-6x2+6x-8 Firstly differentiate with respect to x The first…

Q: Evaluate the function at the given value of the indépendant variable and simplify . g(x)=x^2-10x-3…

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Q: Given g(x) = 5x− 1, a. Is g a one-to-one function? b.Write an equation for g−1(x).

A: (a) Check whether the given function is one to one or not as follows.

Q: How many x-intercepts would the function shown below have? f(x) = x²(x + 9) (x +9) (6x + 1)

A: Use the property of function.

Q: How many x-intercepts would the function shown below have? f (æ) = (x² + 4)(æ² – 3)(x – 8)² -

A: We have to find out how many x intercepts.  And we have given a function.  For x intercepts we can…

Q: Find the domain and range of the function. g(x) = √6x

A: The given function is gx=6x. Find non-negative values for radicals:  6x≥0x≥0 The domain of the…

Q: Is this function odd or even? why? f(x)-3x3+2х

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Q: Find the domain and range of the function. h(x) = −√(x + 3)

A: hx=-x+3

Q: A quadratic function f is given. f(x) = x2 + 10x + 24

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Q: For what value of x does the function g(x) = x³ – 2x² concave downward? А. x2 -1 В. х20 С. х2 -2 D.…

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Q: Given the functions g(x) = 2x + 3                                              x - 5  find g-1(x)

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Q: Find the domain of the function f(x)= 1/4x+7 what is the only value of x not in the domain?  only…

A: Since the given function is a rational function and in rational function the denominator cannot be…

Q: Q2-find the domain and range of these functions A) f(x)=4-x2 B) f(x)={-x D) f(x) = x

A: (A).  The given function is: f(x)=4-x2 Here  x∈(-∞, ∞). Hence the domain of the given function is:…

Q: Evaluate f'(a) for the function f(x)= 2x² – 5x+1 What does f'(a) represent?

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

Q: Find the set of values of b so that the function f:R→R given by 21-4b - b? f (x) = | 1- x³ +5x + a,b…

A: B belongs to [2,3]

Q: Let f(x) = 7/2x -6. For what value of x does function f have the given value?  f(x) = 2/3 X= ?

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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: 19. Find the domain and range of f(x) = 2e-x +1

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

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Q: The function f given by f(x)=x' +12x – 24 is

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Q: Given the function f (x) = 2x? +1 and g (x) = VI -1, what is the domain of g(f (x))?

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Q: Find the domain of the function. f(x)= 2+ x2 The domain is

A: to find the undefined points take denominator =0 ..............undefined point

Q: Find the domain of the function : h(x) = 5/[(4/x) - 1]

A: Given hx=54x-1

Q: Find the domain and range of the function f(x) = x2 + 3

A: The given function is fx=x2+3. To find: the domain and range. Solution: The function is fx=x2+3, and…

Q: Given the function f(x) = - 2x

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Q: 3 4. Find the domain and range for the function f(x): 1- c2r

A: Given: The function fx=31-e2x, To find: The domain and range of the given function.

Q: 3x Consider the function f(x) = x2 +4x-5 For what value(s) of x is the function undefined?

A: The given function,   fx=3xx2+4x-5

Q: Find the domain of the function f(x) domain? = 1 √ x² + 1x 30 . What is the greatest value of a not…

A: The given function,  fx=1x2+x-30

Q: 50 The domain of the function f(x) is all real 12x – 22 numbers except for

A: (1) The domain of the rational polynomial is always all real numbers except such where its…

Q: Find the domain of the function. g(x) = 5x+5 What is the domain of g?

A: The given function is gx=5x+5To find its domain

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: 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: f(x) = x* + x³ – 2x? What is the range of the function given above?

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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.