For Exercise, refer to the functions f, g, and h defined here. f(x) = -x + 3x g(x) h(x) = Vx + 2 Determine the x- and y-intercepts of f.

Q: f(x,v) x2

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Q: The range of the function f(x, y) = 6 – V9 – x2 - y? is O (-∞, 6] O (-0, 3] O [3, 00) O [6, 00) O…

A: Given:     f(x,y)=6-9-x2-y2    Range of the function is         9-x2-y2≥0          9≥x2+y2…

Q: y = e2=²-x %3D

A: Solve the differential

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A: Given: R(x)=10000-x3+45x2+700x, 0≤x≤20

Q: Find all the points of discontinuity and classify them for the functions: x² + x (i) f(x) = x3 + x²…

A: Hey, Thanks for the question , "Since you have posted multiple questions as per our guidelines we…

Q: Find the values of a and b that make the following function dif- ferentiable for all x-values. Jах +…

A: To be differentiable at x=-1  The function must be continuous at x=-1 So we plug x=-1 in both…

Q: Let y(x) be the function that satisfies e3 – 17 xy' – 3xy – y – x4 = 0, y(1) : x > 0. 27 Find the…

A: detailed solution is given below

Q: Consider the function f (z) = e²z.

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Q: Given the function f(x) = x(x – 3)(x + 2), find 1) its y-intercept: 2) its x-intercepts: 3) As x →…

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Q: Let f be a linear function. If f(−3) = 2 and f(2) = −13, find f(x).   f(x) =

A: To determine the linear function f(x).

Q: What is the domain of the function f(x, y) = x² /ỹ – In(x)?

A: topic -  function domain and range

Q: For the function f(x,y) = 5y + x, find f(3, – 5), f(- 1,4), f(- 3, – 4), and f(0,7).

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Q: Find the domain of the function f(x,y)= exy/ x-y2

A: Answer-

Q: find functions f and g so that f ∘ g = H.

A: given: Hx=1-x2 we have to find the functions f and g so that f ∘ g = H.

Q: Consider the function f(x) = x?e2

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Q: For the function f(x,y) = 8x² + 7y², find f(x + h,y)-f(x,y) = h f(x + h,y)-f(x,y) h

A: Given, f(x,y)=8x2+7y2

Q: Sketch the domain of the function.  f (x, y) = √(81 − x^2)

A: Sketch the domain of the function.       fx,y=81-x2

Q: of and ду of Consider the function f(x,y) = 9x' - 4y - 2. Find -

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Q: What is the y-intercept of y = Vx+1+3? Explain using transformations of this function from the…

A: Given that  y=√(x+1) +3 To find the Y-intercept of y

Q: "Find the domain of the function f(x) = g(z) +, where g is a function whose domain is (-, 10]." VT-4…

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

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Q: Given the functions f (z) = 3x² – x,g (x) = ;4,h (x) = 9z, find go f (-1) %3D

A: I have given an answer in step 2.

Q: Let f(x) = 2x - 4. Find a function y = g(x) so that (fo g)(x) = x + 2. %3D

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Q: Express the function in the form   f ° g  ° h

A: The given function is Rx=x-1 It is required to show the given function in the form of fogoh. So,…

Q: Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: f(x) = 2x−5 + 3 ,…

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Q: Find ao of the function f(x) =(n - x)? – x)² |3D |

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Q: Example:Find a²y as a function of t if x = t – t2,y =t-t3. dx²

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Q: Differentiate the function. f(t) = 7 - 글

A: We have to differentiate of the  function

Q: The domain of the function f(x) = V2x – 3 is %3D a) b) c) (-0,2] d) (-,3] 8.

A: The domain of the function is all the values that can be achieved by x. The value of x for which the…

Q: Consider the function f(x, y) = e-x²-y² defined on the rectangle -2<xs 2, -1 <y < 1.

A: In this question, we find the absolute maxima and minima by using suggested steps.

Q: Differentiate the function with respect to the independent variable. f(x) = - 8x+ e + e f'(x) = D

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Q: A/ Derive by definition: y = Vx - 3 ? B/ Determine the value of (z) and (k) that makes the function…

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Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.) 3-…

A: given:piecewise linear functionfx=3-x ; if x≤214-2x; if x&gt;2To find…

Q: Given the function f(x, y) = V10 – x + y, evaluate f(2, 1) and f(-9, –3).

A: Given: fx,y=10-x+y for finding value of f2,1, we put x=2,y=1 in given expression so,…

Q: For the function f(x,y) = 5x² + 6y², find f(x + h,y)-f(x,y) h 11 f(x + h,y)-f(x,y) h

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Q: Why is f not a function from R to R ifa) f (x) = 1 ∕ x?b) f (x) = √x?c) f (x) = ± √(x2 + 1)?

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Q: What is the domain of the function f(z) = E3)"? %3D en%3D1 n!

A: We have to find the domain of the function.

Q: For the function h(t) = -t – 1, evaluate h(t) + h(2).

A: Given function h(t)=-t-1 To find h(2), take t=2

Q: Find domain and range of the function f(x, y) = In[ e – x² – y°]

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Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x- 1) + 1. y- f(x) AY

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Q: Consider the function defined by f(x,y) = 4x² + y? (a) Find the domain and range of f.

A: Given function: fx,y=4x2+y2To find: Domain and range of f.

Q: Find the linearization of the function at a . f(x) = sqrt  x    , a = 4

A: Consider the provided function, fx=x,    a=4 Find the linearization of the function at a. Apply the…

Q: Use a formula to express y as a function of t if  y = 3x2 + 9x and x = t − 1.   y =

A: First of all, both equations i.e. y in terms of x and x in terms of t.

Q: Find the inflection point(s) of the function f(x) = 3e¬x. %3D (х, у) %3D (smaller x-value) (х, у)…

A: Given,  f(x)=3e-x2

Q: Find the domain of the function f (x) = x2-1 R+ R. (-1,1) R\{-1,1}

A: Givenf(x)=xx2-1

Q: The domain of the function f(x, y) is R? \ {(0, 0)}. x2 +y2 OTrue False

A: use the definition of the domain of f(x,y)

Q: Find the minimum and maximum values of f(x) = Vx? on the interval -3, 5|.

A: We can find the minimum and maximum values of f(x) as below.

Q: Let h:R→R be the quadratic function defined by, h(x)=3-x. Then the range of h is

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Q: The domain of the function f(x, y) = 3x + xy + 5y? is R.

A: We have to verify that the domain of the function fx,y=3x+xy+5y2 is R or not.

Q: Find and sketch the domain of the function. f(x.y) = Vy – 4x – 5

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