3. What is the inverse of the linear function Ax) = x- 6 ? [ 3 KU] X+ 4. What is the inverse of the linear function h(x) = ^? [3 KUJ

Q: Discuss the Functions of more than two Variables?

A: Functions of Two Variables The definition of a function of two variables is very similar to the…

Q: Explain why every nonconstant linear function has an inverse.

A: Given: A linear function has an inverse.

Q: of function

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Q: If f(x) 3 (5х — 3)1/3, find f-1(x) | 3 x3 f-(x) = 5 3 f-'(x) = 3 А. C. = --- 3 C. f-'(x) = 5 3 f-"…

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Q: Estimate f (2.1, 3.8) assuming that f(2, 4) = 5, fx(2, 4) = 0.3, f y(2, 4) = -0.2

A: Given : f2,4=5.fx2,4=0.3 , fy=2,4-0.2The linear approximation is :Lx,y=f2,4+fx2,4x-2+fy2,4y-4Now,…

Q: can an even function be selv-inverse?an odd function?

A: Can an even function be self-inverse?an odd function?

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function p=-1/5…

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Q: Suppose that y is a function of x. Find if 2x°y 3 2y + 5. - -

A: We will find out the required value.

Q: A 400-room hotel can rent every one of its rooms at $120 per room. For each $1 increase in rent, two…

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Q: What are the expressions simplified and are the functionsinverses?

A: We will show that, both f°h and h°f are identity maps on their respective domain. Then, we can claim…

Q: What can you conclude about the inverses of functions whose graphs are lines parallel to the line y…

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Q: Find invers of function f(x)=1/2x+1

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Q: With utilization of the product rule for functions of one variable, show how it could be viewed as a…

A: Take the function, f(x,y) x,y are variable.

Q: functions f1(x) = ex+2, f2(x) = ex-3 linearly dependent or linearly independent on (−∞, ∞)? Explain.

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Q: Find the derivative of the function. Ax) = 6x (9 - 8x)* O (- 12x) (9 - 8x)' (6x- 9) O (-181 )(9- 82)…

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Q: What can you conclude about the inverses of functions whose graphs are lines perpendicular to the…

A: If a graph of a function is perpendicular to the line y=x, then the reflection of the line on y=x…

Q: What is the derivative of the function r (x) 5 (9x²-2) (5x+7) (3x³-2x+2) 9x²-2 5 5x+7 3x³-2x+2 5…

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Q: Find the first and second derivatives of the functions

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Q: Find the derivative of f(x) = V9x8 + 9x (72z + 9)-1/2 (92 + 9x) 1/2(72x + 9) O (928 + 9x)-1/2 -(928…

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Q: what is the gradient of f(x)=3x2-2x at x=-2?

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Q: Suppose that f is a linear function with slope 3 and that f(2) = 4. Find the equation for f. (Use x…

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Q: 1 If f(x, у, 2)- ôf then х— у—3z ду а. 1 (х- у-3-)2 b. -1 (х-у-3-)* С. 1 (х-у-3-)° d. 2 (х - у-3-)?

A: In Partial differentiation w.r.t y we treat x,z as constants.

Q: Differentiate the given function glu)- In (u+ Vuzti)

A: Differentiate using basic laws

Q: Show two ways to differentiate ƒ(x) =

A: The function f(x)=1x10. We have to differentiate this function.

Q: The product of an odd function with an even function is even* True False

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Q: One of the following is a set of linearly dependent functions on the interval  (-∞,∞)

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Q: Find the derivative of the function. f(x) = (2x3 - 8x² + 3)4 %3D

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Q: When two functions are multiplied, the domain of the combined function consists of all the values…

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Q: 8 — х — x2 if x 4 -

A: f(4-) = 8 - 4 - 16 = -12 f(4+) = 2*4 - 20 = -12 f(4) = 8 - 20 = -12

Q: Find the derivative for ()= 2z²+9 %3D 3-5z

A: Consider the function

Q: + 2x if xs -1 if -1 1 f(-4), f(-}). (-1), f(0), f(25)

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Q: 1, Differentiate the function. (1) f(x)= (2x² – 3x+6) (2) f(x)= 5x² –x- -x+1 (3) f(x)= (2+3x*i — пх…

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Q: Find a linear function that approximate f(x) : 27. = x 3 near x =

A: To Determine: find a linear function that approximate f(x). Given: we have function fx=x23 near…

Q: 5, what is f'(x)?

A:

Q: -4 - Find the derivative for the function f(x) = (5x−4+ 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A: Given, f(x)=5x-4+3x+78x-3-7x+105

Q: f (x) = - 4x² - 6x x²+3

A: The given function is f(x)=4x2-6xx2+3. Find the derivative of the function. Here we use the…

Q: What are some things that nonlinear functions don’t have?

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Q: Find the domain of the function. 4) f(x) = x2 + 3 A) (-«, -3) u (-3, ∞) C) (-3, «) 4) B) (-*, «) D)…

A: We will find out the required domain.

Q: The derivative of f(x) = 10 (x2 + 13z) is О 10х + 130 О 10х ?(2т + 13) O 10 O -10x 3(2x + 13) O -…

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Q: The graph of linear function f passes through the point (1,-9) and has a slope of -3.   What is…

A: Given for a linear function , Slope =-3 and passes through (1,-9)

Q: prove two Function invezse each other fk)= (x-2)

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Q: Suppose that the function f(x) is concave down on the interval (2,5). Can conclude that the function…

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Q: Find the derivative of the function * 15 f (x) = (18x + 23) 3 1 12x 12 f' (x) = f' (x) = (18x² + 23)…

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Q: Explain the Functions that are Nonlinear in the Parameters with example?

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Q: Please

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Q: hraj h(x) = 3x-2 x347

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Q: Suppose that f is a linear function with slope 2 and that f(2) = 3. Find the equation for f. (Use x…

A: We have to find linear equation for given data.

Q: Check the differentiability of the function flz)= (スー1)

A: fz=z-1¯2z+1⇒fz=z¯2+1-2z¯z+1 Differentiating wrt z¯, we get  ∂f∂z¯=2z¯-2z+1

Q: Find the inverse of the function on the given domain f(x) = 3x2 + 5, (-∞, 0)

A: