Given the function f(x) = -x² + x, determine (f o f) (x).

Q: Find the difference quotient f(x+h)-f(x) for f(x) = x² - 4x. h

A: Here is the solution:

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) = Vx – 2 + V4 – x is.

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

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Q: Find f'(x) for f(x) = e5a+2x

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Q: If f (x) = (e²)² , what is f'(x) ?

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Q: The domain of the function f(x, y) 3xy 2+√4x2+y2-16 is:

A: Given :fx,y=3xy2+4x2+y2-16

Q: What is (fo g)(11) if f(x) = V – 3 and g(x) = x – 7?

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Given that f(x) = 7x – 9 and g(x) = 4 – x², calculate - (a) f(g(0))= (b) g(f(0))=

A: Given,          fx=7x-9 and gx=4-x2.

Q: If f(x) = (x² +2) e², what is f'(x)?

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Q: A function f(x) = v1 – x² is

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Q: -4x For the function f(x) = e¯X+4e*, then f(x) = %3D

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Q: Find the values of x for which f(x) = g(x), where f(x) = x2 + 6x − 24 and g(x) = 4x − x2.

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Q: The domain of the function f(x, y) = 3xy 2+√4x2+y2-16 is:

A: Given problem:- fx,y=3xy2+4x2+y2-16  To find:- Domain of f(x,y)

Q: Find R2,2(x) for f(x)

A: Given, fx=ln1+xx. We have to find R2,2x for fx. Here, R2,2x is called as Pade approximation. Pade…

Q: Given f(x) = 2x + 5 and g(x) =x what is the value of (go f)(c)?

A: Here we have given two functions f(x) and g(x) . f(x) = 2x + 5andg(x) = x2 And we have to find the…

Q: The function f (x) = x3-x . is: х2-1 %D

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Q: Given that f(x)= 2x + 1, find (f o f)(-3).

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Q: Given that f (x) = 3x² + 1, find (x+h)-f(x) h

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Q: For the function f(x) = 3x + 5, what is f(x) when x=3?

A: If fx is a function the value function at x=a is calculated as f3. Consider the given function,…

Q: V, find f(x). 9 For the function f(x) =

A: Given f(x)=9x54 and i.e. y=9x54Now we swap x and y to find the inversex=9y54 and here solve for y

Q: For the function f(x) = x² + 5x – 2, find (a) f(3) (c) -f(x) f(x + h) – f(x) (b) f(-x) (d) f(3x) (e)…

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: For the function f(x) = vx – 2, find f'(x).

A: Given,           The function is fx=x-2 .

Q: For the function f(x) = 3x-2x-3x +2, find "(X). Then find f"(0) and "(4).

A:

Q: Given that f'(x) = 4x(x² + 8)¬1/3 and f(0) = 0, find the function f(x).

A:

Q: Given f(x) = x2, is f the independent variable? Why or why not?

A: fx=x2

Q: Given f(x) = x² -x and g(x) = 3x + 2, find f(g(2))

A: Since, we have been given that f(x)=x2-x and g(x)=3x+2. Our Aim is to find f(g(2))=?

Q: For the function f(x) = x^2/2-x, what is f(a+h)?

A:

Q: Given f(x) = 5x + 6 and g(x) = 2x2 - x - 1, find (g ∘ f)(x)?

A: we have f(x) = 5x + 6 and  g(x) = 2x2 - x - 1  to solve  (g ∘ f)(x) we use   (g ∘ f)(x) = g(f(x))

Q: Given f(x)=(x−7)^3(x−11)^6, where does f(x) touch the x-axis and turn?

A: Given data: The expression for the given function is f(x)=(x-7)3(x-11)6.   Here, the graph of the…

Q: Given f (x) = x³ - 3x – 1,x 2 2, find (f~')'(-1)

A:

Q: Given f(x) = 5x - 3 and g(x) = x-, find g(f(2)). %3D

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Given f (x)= 2x +1 and g (s3)=x*+2x-1, find (I+g) (3).

A: (f+g)(x) = x2+4xexplanation is given below

Q: Find the domain of f

A: f(x)=2x+7

Q: Given that f(x) = 8x- 2 and g(¤) = 1-, calculate (a) f(g(0))= (b) g(f(0))=

A: Given that, f(x)=8x-2 and  g(x)=1-x2 Part a: fg0  g(x)=1-x2g(0)=1-0g(0)=1fg(0)=f1here…

Q: Given that f(x) = x² – 8x and g(æ) = x + 6, calculate

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Q: Q2: Find f-(x) 2x - 3 f(x): I +2

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Q: For the function: f(x) = 2x + 8, f(æ) – f(a) с — а -

A: Given that f(x) =2x+8 .First we evaluate f(a) then substitute in the given expression.

Q: Find the extreme values of f(x, y) = x² + y² .

A: The given function is f(x,y)=x2+y2. Find the extreme values of f(x,y)=x2+y2 as follows.

Q: = x, find (f o g-3). Given that f(x)=2x+3 and g(x) (fo gX-3)-

A: (fog)(-3)=f(g(-3))

Q: Given that f(x) = x2 + 8x and g(x) = x+ 7, calculate

A: Given functions - f(x) = x2+8xg(x) = x+7f∘g(x)=f(g(x))

Q: (b) Given that f(x) = g(x') (2) =3 and g(2) =5, find the value of

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Q: Given that f(x) = 4x – 9 and g(x) = 1 – x², calculate - (a) f(g(0)) = (b) g(f(0)) =

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Q: Given f(x)=e^x+1/3x, find f'(8)

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Q: Find f"(x) for the equation f(x)=x6(x2-1)3

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Q: Given the function f(x) = -x2 5, express the value of e+h) f(x) in simplest form.

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Q: Given that f(x) = x² – 6x and g(x) = x + 2, calculate (a) fo g(x)= (b) go f(x)=

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Q: Given that f(x) = x² + 7x and g(x) = x + 5, calculate (a) fo g( – 2)= (b) go f( – 2)=

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: