Consider the function and the value of a. f(x) = 6 - x - x², a = 0

Q: Find the absolute maximum and minimum values of the function f(x)=7x^2/3 ;[-1,1]

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Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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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: Express the function in the form f ∘ g.

A: Given: Gx=x2x2+4. Let, fx=xx+1 and gx=x2. Then, Gx can be expressed as, f∘g=fgx       =fx2…

Q: Let two functions be f (x) = Ax +3,9 (x) = Bæ? What are the possible values of A and B if (f o g)…

A: Put g(x) in place of x in f(x) first

Q: Find the domain and range of the function f(x) = −∣x + 1∣

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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: Can a function such as f (x) = 53x be written in the form f (x) = bx? If so, what is b?

A: Comparison of the functions helps to determine the validity of the statement. The given function is…

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: Find the domain and range of the function f(x)=: 1+x

A: Here I am attaching image so that you understand each and every step.

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 the domain and range of the function.f (x) = −x

A: Given: fx=-x To Find: The domain and range of the given function

Q: 12. Is the function f(x) even, odd, or neither? 2x + 1

A: Given function is: fx=x22x+1 We know that a function f(x) is said to be an even function of x if…

Q: Express the function in the form f ∘ g.

A: To express the function in the form of (fog). G(x)=1x+3 Solution: Given,G(x)=1x+3 We know,…

Q: 3 Consider the function f(x) = 2 + 1+ (x + 1)2

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Q: 3. (a) Differentiate the function f(x) = x2 from first principles.

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Q: Differentiate the function. f(x) = e2 f'(x)

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Q: A rectangle has a length of 16 inches and a width of 9 inches. If the length is increased by x…

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Q: A function f(x) is given as follows: 2x +1 f(x) = 3x - 1 f-(1) =?

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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: 3 Consider the function f(x)= 2+ 1+ (x+1)2

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Find the absolute extrema of the function on the closed interval.

A: Given function - f(x) = x3+6x2To find the absolute extrema we need to find the critical points…

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

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Q: The notation f(x) describes the value of______ at________.

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Q: Find the domain of the function in interval notation: f(x) = 1 I+3

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Q: Find the two functions f and g such that:

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Q: Find the leading coefficient of f(x)? Given f(x)=-(x-3)2(x+3)2

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Q: Solve the Problem. Approximate the curve of the given function f. f(x) = x³ + 2x2 – 15x

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Q: Identify the parent function of f(x) = (x + 3)°.

A: Given function is f(x)=(x+3)3 Parent function of the given function.

Q: For what value of x does the function f(x) 4x attain the point of inflection in the interval [-5,3]?…

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Q: Find the local extrema of the function f(x)=x3−12x.

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Q: Express the function in the form f ∘ g.

A: Given,  Fx=x-95   Since the formula for F says to first subtract 9 and then take the power of 5, we…

Q: Determine all of the relative extreme values of the function f (x) =1–(r– 2)²

A: Given,         The relative extreme values of the function fx=1-x-22

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

A: To find the domain and range of the given function.

Q: R(x) = //x – 1 X.

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

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Q: Refer to the function f(x)=[x] determine f(-4.1)

A: Greatest integer function

Q: 1 g(x) 5 at x = 3 3

A: given function            g(x)=15.13xat x=3substitute x=3 in the given function

Q: Find the absolute extreme values of the function on the interval. F(x) = , -2 -2 <xs 64 %3D

A: As per our guidelines, we are allowed to answer only the first question. Please upload another…

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: 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: 10. Find the domain of the function. a) f(x) = V49 – x2

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Q: The function f(x)%= has a point of inflection when a = 0.

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Q: Find the domain and range of the function.

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Q: The notation f(x) describes the value of at

A: The notation f(x) describes the value of_________ at _______.

Q: a. The value of x that makes the function discontinuous. 3x f(x)= 3x-81 O 4 O -4

A: A function f(x) in an interval (a,b) is discontinuous if it is undefined at x=c where a&lt;c&lt;b.…