Write the following as a composition of two or more non-identity functions. 6x3 + 3 x3 - 3 (go n(x) = R(x) %3D f(x) g(x)

Q: Given that calculate f'(-1). f(x) h(-1) h'(-1) = || || x¹¹h(x) 3 6,

A: Given, f(x)=x11h(x)h(-1)=3h'(-1)=6

Q: Differentiate the function

A: The given function is shown below:

Q: Write g ( x ) in terms of f ( x ). f ( x ) = 3x + 5    g ( x ) = 3x - 1

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Q: Find an expression for h'(x).  h(x) = f ( f (x))

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Q: Find f'(x). f(x) = (1 – 7x)10

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Q: Differentiate the following function: f(x) = x² + 2x + 74 f'(x) =

A: Solve for the derivative

Q: Consider the following. f(x) = x3 – 12x

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Q: Consider the following functions. f(x) = 3x + 6 g(x) = x² – 3x – 10 (a) Find ()(x) and simplify the…

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Q: Find the following for the function f(x)=x² -6x² +11x-6

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Q: Find f'(x) for the given function. 9x f(x)%3= X + 8 f'(x) =|

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Q: Find an expression for h'(x).  h(x) = 2 f (2x + 1)

A: Given equation - hx = 2f2x+1    .........(1)

Q: mine the end behavior of the following function as x → –∞: 3x – 9 - r(x) = V49x2 – 8

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Q: Evaluate the function: Se +) dz 2x e5x 3

A: Let I=∫ e5xe2x7+3e3xdx

Q: What is the inverse of the function f(x) = In (5x + 1) - 7?

A: Given query is to find the inverse of the function f(x).

Q: Find f'(x) when f(x) = (x+ + 3x)*. 43

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Q: Consider the function below. f(x) = 8 + 2x² – xA

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Q: Find f''(x). 5 f(x) = (x² + 5) *

A: The given function,  f(x)=x2+55

Q: Consider f (x) = 5*

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Q: Determine the value of x of: (x² – 1 x < 1 f(x) = { x – 1 .2 x21

A: Given query is to find the the value of x.

Q: Consider the function below. x2 – 2x + 1 f(x) 2x – 8

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Q: Graph the function. for x <2 f(x) = -x+4 for x 22

A: Given: fx=xfor x&lt;2-x+4for x≥2

Q: Differentiate the following function. - 8x f(x) = 4x e

A: Given: fx=4xe-8x for finding derivative of this we will use some formula of differentiation given…

Q: Determine the value of x of: (Зх — 1 f(x) = {5 x + 2 x 2 X = 2

A: Given:    Function is given

Q: Describe the long run behavior of f() = (x – 4)(x + 3)°(x – 1)²: As a - 00, f(x) → ? As x 0, f(x) →…

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Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: For the function to be continuous at all point.f(x) must be continuous at x=5 and,x2-c =…

Q: Describe the long run behavior of f(x) = 2(x + 2) (x + 3) (x + 5): As x → 00, f(x) → ? v As x → 0,…

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Q: Simplify the difference quotient x)-fa) for the following function. x-a 3 f(x)x 8X

A: Firstly, we find f(a) by replacing x by a in f(x). &lt; Then substitute the values of f(x) and f(a).…

Q: Find the domain of the function : h(x) =4/[(3/x) - 1]

A: Find the domain of the function : h(x) =4/[(3/x) - 1]

Q: for which value of 'a' the function 5x3 – 625, x5

A: As  we know that; If the function is continuous at x=a then;…

Q: evaluate h(9), where h = ( g o f)  F(x) = 1/x-8; g(x) = x^2 + 8  H(9) = ?

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Q: 5x + 5 If f(x) find: 5x + 5' f'(x) = | f'(5) = |

A: Given: fx=5x+55x+5 here  5x+5≠0⇒5x≠-5⇒x≠-1 and  fx=5x+55x+5=1 when x≠-1, To find: f'x and f'5.

Q: Consider the function below. (x) = x2 - 4

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Q: 7x-5x+2 f(x)= 4x- 2x+ 7

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Q: A student writes the following for the function f(x) = (x-2)/(x^2-8x+8): "The domain of f(x) is…

A: Given: x-2x2-8x+8

Q: R(x)%3 570xe^-0.001x

A: Given: Substitute x=1000 in the above expression.

Q: Describe the long run behavior of f(x)=-2(4)x+4

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Q: Determine the extreme values of the ff. functions. f(x) = -2x^2 + 12x on [1,4]

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Q: If g(x)= 3x²-1 and h(x)= 5x+2, which function will give (goh)(x) ?

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Q: 2) Find the domain of the following functions. a) 3vx – 5 - 22 x b) f(x) = x²-x-30

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Q: Consider the function below. x2 x² - 4 f(x)

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Q: Complete the table of values for the given function.

A: A function is a relation between an input variable and an output variable wherein each input…

Q: Consider the function below. x2 f(x) = x2 25

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Q: Write g ( x ) in terms of f ( x ). f ( x ) = 3x + 4    g ( x ) = 3x + 9

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Q: If f(x)=1+x /x, for which value of x does f(x)=5?

A: Given function f(x)=x+1x

Q: Find f'(x) for the function. (x) = 7x(17x* x + 1 f'(x) =

A: Given function is fx=7x17x4+15x+1find f'x

Q: Find the composition. 1) If f(x) = x2 + 3x and g(x) = x + 4, find (f g)(3).

A: Given: If f(x)=x2+3x and g(x)=x+4

Q: Differentiate the function: f(x) = √(1+3e4x)

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Q: If f(x) = -x' – x² + 3, find f(-3), f(0), and f(2). %3!

A: Given- fx=-x3-x2+3 To Find- The value of f-3,f0 and f2.

Q: Find f'(x) and f"(x) for f(x)=(5x+7)“ 6.

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Q: Find f'(x). f(x) = 8x + 5

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