f(x) = 2x2+7 and g(x) = x-5 find  (f ⋅ g) (x)

Q: Which x satisfies both |x − 3| < 2 and |x − 5| < 1?

A: The inequalities are:  |x − 3| < 2 and |x − 5| < 1 Then we get,…

Q: Find bn if the function f(x)=x^2.

A: bn-fx=x2 Fourier series of                     fx=x2   is                     fx=902+∑n=1∞an…

Q: Let f(x)=8x^3-18x^2-11x+15. Solve, algebraically, f(x)=0

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Q: Obtain the TSE of f(x) = 2x² in powers of (x-1)

A: To Find: The Taylor Series expansion of function 2x-2 with center x=1

Q: Find the constant a such that the function is continuous on the entire real line. - [8x², a = ax -…

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Q: Given that f(x) = x² – 6x + 8 and = x – 2, find f(x)+ g(x) and - - express the result in standard…

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Q: find domain V2 + x 65. g(x) 66. g(x) 3 - x 2r2 + x - 1 67. g(x) = V – 6x 68. g(x) = Vx² – 2x – 8

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Q: The Domain of ƒ(x) = V1- x is

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Q: Find the domain of f(x) : V=7x – 9 -

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Q: ) Determine algebraically whether f(x) = 2x5 – 7x² is even, odd, or neither.

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Q: If f(x) = - 2x + ax² +2 and f(2) = 2a, find a. %3D 2.

A: A function is a relation connecting two variables, in such a way that one  variable varies with the…

Q: Find the absolute maximum and absolute minimum of the function f (x) = x³ – 3x²+8 on the interval…

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Q: Let f(r) = 5z² +3x +5 f'(x) = f'(3) =

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Q: Find a rule for g-(x) if: g(x)=3x +2 %3D g(x)=| %3D

A: For finding inverse of the function g(x) replace x by y and g(x) by x and solve for y.

Q: find inverse of funchion. f(x) : 3x2+ 4x-3

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 5x°+7x Differentiate f(x) - using quotient rule. %3D 2x2-4x+5

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Q: f(x)  =  x3 − 3x2 is increasing on the interval  0  ≤  x  ⩽  1 TRUE OR FALSE?

A: Given: f(x)  =  x3 − 3x2     To determine: The interval of increasing.

Q: Given that f(x)=x^2+3x-70 f(x)=x2+3x−70 and g(x)=x-7g(x)=x−7, find (f-g)(x)(f−g)(x) and express the…

A: Given data:     The given expression for the first function is: f(x)=x2+3x-70. The given expression…

Q: Find the domain of g(x) = v16 – x² and h(x) = vx2 – 16. Express your answer using interva notation.

A: Domain : it is the set of all the x value for which f(x) is well defined.

Q: Let f(x) = 6x/x2+3. How do I solve if this is even, odd, or neither?

A: Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. Algebraically, f…

Q: The functionf(x)=5x−1 f ( x ) = 5 x - 1 is shown on the coordinate plane. Which statement is true?

A: A limit in which f(x) increases or decreases without bound as the value of x approaches an arbitrary…

Q: Find sum of two polynomial f(x) = x^3-7x+6 and g(x) = 5x^3-8x+1

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Q: Find f(x) =2x2+3x-5, then prove that f'(0) +3f'(-1)=0

A: Givenfx=2x2+3x−5To provef'0 +3f'−1=0

Q: Let f(x) = 2x² + 8x – 9. According to the definition, -

A: Derivative: - Differentiation is the pace at which one quantity changes in relation to another. The…

Q: 1. Let f (x) = 2x² – x – 1 and let g(x) = x – 1 Which statement is true?

A: Given, f(x)=2x2-x-1 and g(x)=x-1

Q: The domain of f(x)=V4-x+Vx-4 is

A: Given that f(x) = √4-x + √x-4 find the domain of function f(x) . We know that the domain is the…

Q: Find (gof)(x) if f(x) = 4x and g(x) = 3x+6

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Q: Find the point(s) of intersection. f(x) = 2x2 − 7x − 18 and g(x) = 3x + 10

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Q: The function f (x) = (x + 6)³ – 2e** has two roots between x = -7 -

A: Solution of the problem as follows

Q: An approximation of f'(2.5) is: -0.52083 -0.09895 -0.14825 -0.14583

A: We will apply the continuity of f(x) at point x=2 to find the unknown value of a  Next we will take…

Q: Let f(x) = 2x² – 12x + 3. For what x-value isf' (x) = 0? x =

A: To find: The values of x at which f'(x)=0. Given information: The function is f(x)=2x2-12x+3.…

Q: Set  up the composite (gof)(x) when f(x)=2x^3-7x and g(x)=9x^2-7

A: Given function is

Q: f(x) = -(x2 + 2x - 3) %3D f(x) 10-

A: Given:- f(x) = -(x2 +2x-3)  To find:- STANDARD equation of f(x)

Q: F(x)= 3x^3 + 2x + 3/x^2?   then F'(2) is?

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Q: Given that f(x)=x^2+3x-70 and g(x)=x-7g(x)=x−7, find (f-g)(x)(f−g)(x) and express the result in…

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Q: Find f'(-1) if x(f(x))^3+5x^3f(x)=-18 and f(-1)=2

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Q: The domain of f(x)=1xf(x)=1x is (−∞,0)∪(0,∞)(-∞,0)∪(0,∞). What is the domain of…

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Q: Find f such that f′(x)=7x2+9x−2 and f(0)=7.

A: We integrate the given function and use the given condition f(0)= 7 .

Q: If f (x) = x² – 2x, find: %3D f(-4) = [ ? ]

A: f(x)=x2-2x

Q: 14-x Vx-1 Find the domain of y | 3+x x+5

A: The given function is: y=4-x3+x-2-x-1x+5

Q: If f(x) = 2x +3x - 5, then prove that f(0)+ 3f' (-1)=0

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Q: Show that f(x) = 2x3 + 3x2 − 36x is not one-to-one on (−∞, ∞).

A: Given: f(x)=2x3+3x2-36x, -∞,∞

Q: Find (f-1)'(a). f(x) = 5x3 + 4x2 + 6x + 1, a = 1

A: Topic:- application of derivatives

Q: 8. Find the zero of f(x) = 5x - 3. %3D

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: x)=x^4-2x^2-24

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Q: Find (f)'(a). f(x) = 3x3 + 4x² + 6x + 1, a = 1

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Q: x=-2 of f(x)=√x²-1

A: Above question is solved.

Q: Identify the invariant points of f(x)=4x+2 and its inverse.  Justify your solution

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Q: 3 Let f(x) = 4.x² 5 and g(x)= 3.x + 7, find. -

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Q: Does f(x) = x3 - x - 5 have a real zero between 1 and 2?

A: Intermediate value theorem: Let f be a polynomial function. If f(a) and f(b) have opposite sign then…