10. If g(x) = 1– 3x and h(x) = vx, what is the range of (2) (x) %3D

Q: If (5f(x) + 4) dr = 3, then S f(x)dx = %3D

A:

Q: Directions: Differentiate the following functions. 5.) y = In(x* + 5) 6.) f(x) = x*e3% %3D

A: 5)y=lnx4+56) fx=x4e3xTo find its differentiation

Q: Find the relative extrema of f(x) = (x4 + 1)/x2 .

A: Given: f(x) = (x4 + 1)/x2  To Find: Relative extrema of f(x).   Concept: First-Derivative Test:

Q: 1. %3D If f (x) = x² – 12 and g(x) = x + 4 find f (g(x)).

A:

Q: 1.b) Describe how the graph of g(x) = (x – V2) is obtained from the graph of f (x) x3.

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Q: 1. If f(x) = x-1 and g(x) = 2x, what is g(f(x))? c. 2x -1 %3D а. х-2 b. 2х-1 d. 2x-2

A:

Q: f(x) = 1– 2x – x2

A: Nothing is clearly mentioned here so i am solving it by considering that you want to differentiate…

Q: Given that f(x) = 3x/x-9, for what values of x does f(x) = 4/5?

A: To calculate the value of x.

Q: x²–1 If f(x) and g(x) = Vx – 1, which will yield (f 0 g)(x)? %3D r2

A:

Q: Let X1, X2, X3 and X4 be a random sample from population with pdf Sx, 0<x < 1 0, otherwise. fx (x) =…

A:

Q: If f(x) = Vx+1 %3D 1 g(x) =- X+4 1 h(x) = - X Then find (fogoh)(x)

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Q: Give f (x) = = and g (x) = 2/, find %3D (a) f · g [ Select] answer and its domain answer [Select ]…

A:

Q: If f(x) dx = 3x8 - 5x + C, find f(x). f(x) = %3D

A: The given integral is ∫fxdx=3x8-5x4+C

Q: 2: If f(x) = and g(x) = find the Domain and Range of the function (f• g)x x+2

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Q: If f(x) =3 ln x and g(x) = e2 , find go f(x). %3D

A:

Q: 9. Describe an example that illustrates that If(x)| dx is not equal to |S f(x) dx|.

A: For a function f(x) the corresponding function |f(x)| is obtained by reflecting the parts below the…

Q: 6. If f(x) = x - 1 and gx) 3x + 10, what is f(g(-6))? %3D %3D

A: Given,    f(x) = x2 -1 g(x) = 3x + 10   To find : f(g(-6)) =?

Q: Determine G(s)   g(x)=x-5/2cosh3x

A:

Q: If a function y = f(x) satisfies = y, %3D then %3D dr y = e".

A:

Q: (a) Define what it means by for y = f(x). %3D

A: In this question we have to define the meaning of dydx for y=fx

Q: If f(x) = x2, g() = x+1, and h(x) = / Va – 1, then evaluate (fohog)(x). %3D

A: Plug g(x)=x+1 inside h(x) and simplify

Q: 3) Given f(x) = 3x • 5x and g(x) = 7x², is the following true? Explain your answer. %3D %3D d[f(x)

A:

Q: 3. For the function f (x) = 4x2 – 25, a) find f(-1) - %3D %3D b) find all x when f (x) = 0

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Q: 6. Consider the function f(x) = A (eikx + e-ikx) for -27/k<x< 21/k, where k is a real constant. For…

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Q: Consider the functions: Ax) = x+ 2 %3D g(x) = 3x What is the value of (f g)(2) ?

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Q: If f(t) = (1 + 0.04)t, what is f(0)?

A: note that (any number)0 =1

Q: f (x) = 3.x5 5x3.

A:

Q: 9. (x+ 3)(x – 6) = 10 %3D

A: Our Aim is to solve the equation given below for x:-(x+3)(x-6)=10 -(i)

Q: Find the rate Of Chaange the folloewing in Table de. X 1-2)-1 TO fex) F3 -1 3.

A: Given that table values, x -2 -1 0 1 f(x) -3 -1 1 3 Use the formula of the rate of change,…