Consider the following functions f (x) =x² – 1 and g (x) = 2 – 2 Evaluate fog(-4)

Q: Differentiate the following function

A: The given equation is

Q: 3x-4 -,x < 1 x+2 4. Given the function f (x) = . Calculate f'(1-) and f'(1+). In?x x+1

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Q: (a) Integrate the following functions with respect to x: (i) 3x2 + 5x -7 (ii) x +

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Q: Find two nontrivial functions f(x) and g(x) so f(g(x))=(−4+4x)^4 outside function f(x) = ? inside…

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Q: 10 f(x) = g(x): for a x+1 nction g?

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Q: | find the Purpose of the function 十1→×>! O fn. 3メ- ,Xく! Xく1 2 f(め 2

A: Function, in mathematics, an expression, rule, or law that defines a relationship between one…

Q: 2. (a) Define what it means by for y = f(x). %3D

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Q: Express the function in the form f ∘ g.

A: Given function F(x) - F(x) = x+1           ...............(1)In order to express it in terms of f∘g.…

Q: of Find - for the following function. and 5xy f(x.y) = e In (3y)

A: Given: Now,        ∂ ∂ xe5xyln3yTreat y as a constant=ln3y∂ ∂ xe5xy=e5xy∂ ∂ x5xy=ln3ye5xy· 5y

Q: Differentiate the following function. f(x) = x° e 9x f'(x) =D

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Q: Determine the function f satisfying the given conditions.f ' (x) = ex/3f (0) = 8f (x) = A eBx + C

A: Given:

Q: Find two nontrivial functions f(x) and g(x) so f(g(x)) =

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Q: Find an equation for f(x) using the secant function. (x) f(x) 10 x 3 -2 n 2) 2. 4. 6.

A: we will find the equation of fx using secant function. Let a function: fx=asecx By using graph we…

Q: Integrate the following functions f(x) = 4/2/201 22²2 + + [2,³] X 3 x

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Q: Differentiate the function In e* 8.) y = ex 7.) f(x) = e** – In :

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Q: If f(x) is a differentiable function such that f'(-2)=-1 and g(x)=f(3x+1), then what is g'(-1)?

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Q: Vhich of the following is NOT TRUE about the function f(x, y) = e² + e"?

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Q: 2 For the function f(x) = -x', find f'"(x), f'"(0), f'"(1), and f"(- 1).

A: To find the double derivative for the given function.

Q: The function h(x) 1 can be expressed in the form f(g(æ)), wher x + 4 defined as: f(x) =

A: The function h(x)=1x+4 can be expressed in the form f(g(x)), where g(x)=x+4 We have to find f(x) = ?…

Q: Consider the function f(x) = 12x+ 45x - 200x + 3. f(x) has inflection points at (reading from left…

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Q: Express the given function h(x) =1/(2x - 3) as a composition of two functions f and g so that h(x) =…

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Q: Integrate the following functions with respect to x: i. 2x +x3 +5x4 y = x2 ii. y = (x +1)(x- 2)

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Q: Suppose ƒ is an odd function,Evaluate function

A: Given:∫04 fx dx=3,∫08 fx dx=9∫-84 fx dx=?Odd function:∫-aa fx dx=∫-a0fx dx +∫0afx dx=-∫0afx dx +∫0a…

Q: Differentiate the following function. f(x) = -3e-3x d -(-3e-³x) = dx

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Q: 4. Find the functions f(x), g(x),h(x) that satisfy: f(g(h(x))) = 2.

A: A composite function is created when one function is substituted into another function .

Q: Find ƒ″(x )  for function. Then find ƒ″( 0)  and ƒ″ (2)

A: The given function is: fx=lnx4x To find the first derivative of this function, apply the quotient…

Q: 8. Analyze the differentiability of the following function: f(t) = Vx² – 2 State the restrictions in…

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Q: find all possible functions with the givenderivative. y' = x2

A: Given function  y'=x2 That is dydx=x2dy=x2dx

Q: Differentiate the following function.   f(x)=9−2x+e−5x d/dx9−2x+e−5x=nothing   Enter your answer in…

A: fx=9-2x+e-5x

Q: 2. Given the function f(x) = sinx and g(x) = x*, find the value of g(f

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2) For the function below f(x)=7x1.1^x, estimate f'(x) using h=0.001 for the following three values.…

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

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Q: What is the value for k if f(x) =x² + kr + 13 is an even function?

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Q: Differentiate the following function. f(x) = - 2 e 4x d (-2e **) =D - 2 e 4*) %3D dx

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Q: Use the chain rule to find the derivative of f(æ) = 4(92". – 8a")" You do not need to expand out…

A: Given the function f(x)

Q: (1) For the function f(x)=x+1/x2+3,evaluate and simplify the following: (d) f (ab−1)

A: The given function is  f(x) = (x +1) /(x2 +3)

Q: The function h is defined by h(x) = x^2 +2. find h(5z)

A: Given h(x)=x2+2

Q: b) Find the domains of the following functions. 3x + |x| i. G(x) =: ii. f(x) = {*+ 2 if x-1 iii.…

A: The solution are next step

Q: 1 Use the functions given by fx) 1 and g(x) = x' to find (fº g)¯- %3D X - 125

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Q: 2 a) For the function f(x) = find f' X- 3'

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Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: Differentiate the following function with respect to x for y=2e^3x + 8e^9-2x .

A: Given equation is y=2e3x+8e9-2x Differentiate with respect to x.  then,

Q: J 3(x)is even function

A: Bessel Function The property of Bessel function says that- (1) Jnx is an even function when n is…

Q: 14. Given the function f (x) = x² + Vx, calculate (f-1)'(18). %3|

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Q: 2. a) Find a formula for f1 for the function y = f(x) = vx – 35

A: To find f-1 for y=f(x)=√(x-35)

Q: 1. For the function f(-x) = 1-- find the following: (* + 2)2 (i) f(-x) _(ii) f (x + k)

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Q: Q3) Draw the following functions: (3-x, xS1 5, 1sxS0 2x,x >1 1)f(x) = EX 2)y = sec

A: We have piece wise defined function fx. we have to Draw the function by giving inputs x from defined…

Q: Find all the extreme values and their types from the function f defined by f (x, y) = 2y3 + 2x3 -…

A: Given: f (x, y) = 2y3 + 2x3 - 3xy2 - 12x

Q: The derivative of the function f(x) = 18 is 1 5x 18 5x + 18 18 5x4 + (x) 18 5x4 (교2) 18 5x4 + (23)

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Q: y2 For function f (x, y) = x2+1

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