The fixed point of the function f(x) = 9* – (2) 3× + x - 3 is: Select one: а. 1 b. 3 С. 2 d. 4

Q: b) Given h(x) = 3x² + 2x and f(x) =- Vx – 2, find (h • f) (x + 2)

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Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

Q: The function f(x) = 2x? – 332? + 144x – 10 has two critical numbers. The smaller one is æ = and the…

A: Please refer the attached image for complete solution.

Q: Given the function f(x) = Vx5 – 3Vx2, find the interval(s) of increase.

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Q: nd the points where the function f(x) = (x² – 1)³ is decreasing, -

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Q: If f'(x) = 2x- x-2, then f has inflection point(s) with x – coordinate(s) equal to

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Q: If f is a function defined by the equation y = f1x2, then x iscalled the variable, and y is…

A: Given: If f is a function defined by the equation y = f(x), then x is called the _________ variable,…

Q: Зах + 3 for x -2

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Q: O Find a, b to Continue The function at x= 3 if ax+b x > 3 f(x) = 2a-b+1 X = 3 bメーa+3 Xく3

A: Given,          The function is continuous at x=3.            fx=ax+bx>32a-b+1x=3bx-a+3x<3

Q: Q1. Find ý of the function x2 – e2x+3y – In(xy³) = 0. -

A: here is the solution

Q: find a formula for the linear function f(x) that satisfies f(5)=7 and f(0)=-3

A: Given information:f(5)=7 and f(0)=-3

Q: Find the domain of the function f(t) = V1- 21 – 3Vī+ 6.

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Q: 1. Plot the function f(t)= (x+5) for -35 x 3. 4+3x2

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

Q: The point of the given function at (2, -7) is found to be y = x3 – 2x2 – 4x + 1

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Q: Find the linear approximation of f(x) = x4 + 3x2 at a = 1.

A: We first find f'(a)=f'(1) f(x)=x4+3x2f'(x)=4x3+6xf'(1)=4(1)3+6(1)f'(1)=4+6=10   We now find f(1).…

Q: Find the value of a so that f(x)= x2 + a has a range of [-2, ∞).

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Q: 9. If f(x) = kx – 1 and f'(15) = 2, find k. %3D -

A: Given f(x)= kx3 - 1 and f-1(15)=2 then we have to find out the value of k

Q: For function f (x, y) = y2 x2 +1

A: Please refer the attached image for complete solution.

Q: Find the inflection point of the curve f(x)=2x³ – 30x² – 12x+5. O 60 None O -2 O 5

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Q: For the function 3, ²8a+21, 2x f(x) = 7, 0 < x < 4 x = 4 4 <a

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Q: Given the function f(x) = 3 %3D when it could be discrete

A: Given f(x)= 3x+7 Now we write a real world problem for the given function In the given function , 7…

Q: The function f(x) =is 1-z2 Is 9+z2

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Q: Find the range of f(x)=x-5x+6. O [-1/4, 0)

A: The given function is:fx=x2-5x+6To find the range

Q: Find f'(a) for x2 f(x) = x + 6 at a = 3.

A: Given function :

Q: Find f'(x) for f (x) = v5+ e2x

A: Given,          fx=5+e2x

Q: Express the follo lowest form +4 a 2 1-3x S+x

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Q: DERIVE THE F. FUNCTIONS: s) y (x-3)(3x+4)(x²-2x+ 1)

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Q: The interval in which the given function is decreasing is at y = x3 – x2 – 5x – 4

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Q: If f(x) = 3x - f(3) – g(2). 4 and g(x) -x², find the value of %3D 系 跳,, are

A: We can find the answer as below.

Q: Find the Critical number of the function f(x) = -2x^2 + 16x + 7. x = ?

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Q: The critical points of the function f(z) = 9x² - 8x + 16 are

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Q: If f(2) = 11, f' is continuous, and f "(x) dx = 18, what is the value of f(4)? f(4) =

A: Solve the given problem.

Q: of the function. + 3y + 11

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Q: Find a and b so that the function 2.3 – 5x² + 2, x -2 f(x) = ax + b, is both continuous and…

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Q: For the function f (x) =x³ – 3 -x² + 8 , find the coordinates of all Critical Points.

A: Given, fx=x3-3x2+8

Q: 16. Let f(x) = x² + 10x + 28 m, find m if the function only has 1 (ONE) x-intercept. -

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Q: Calculate R4 for f(x) = (x-1)^2 on interval [2.4]

A: the given function f(x)=x-12 on the interval 2,4

Q: Q5- Show that are eventually fixed point for the function: '5' 4x 0 <x < く 2 - 4x <xく f(x) = 4х - 2…

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Q: Find the value of x and y for f(x)=3x2+9xy-y2-9x,if fx(x,y)=0 and fy(x,y)=0

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Q: 7. Find f'(x) for the function f (x) = V-3x4 – 2

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Q: Find a number c that satisfies the conclusion for f(x) = x + x-1 on the interval [0, 2]

A: Answer is 2/√3

Q: Find the x-intercept(s) of the function (*)--+5x-6. O 2 and 3 O 6 and 1 O -1 and 6. O 5/2 and 3

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Q: Find the range of f{x}=x² +5x+6. O (00, 0) O (o, -1/4] O -1/4, )

A: Topic = Functions

Q: Find the global extrema of the function f(x)=3x4−6x2+2 on the interval [−2,2]

A: Global extrema of a function exists at critical points or at the end points of the interval.…

Q: Find (f-1)'(a) for f(x) = V3x + 4 when a = 2. (Enter an exact answer.)

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Q: For the function y = (f ¹)'(-4)= f(x) = x² + 4x - 3, x ≥ - 2, find df-1 dy y=-4

A: Introduction: For a function y=fx, its inverse function is represented as x=f-1y. It is not…

Q: Find f (x) given f "(x)= 6x² +8x³ – x and the initial condition f(-1)=- 2

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Q: Consider the function f(x, y) = 4x² – 8y² subject to the condition x + y = 25.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.