. Find the inverse function f of f(x) = 3 sin x - 5, Find the range of fand the domain and range of f.

Q: Find a, b, and c for the function f(x) = a sin(bx − c) such that the graph of f matches the figure.

A: Given Graph of y=asin(bx-c)   To find a , b and c

Q: 3 By using and only using function composition, show that the following function is its own inverse.…

A: The objective is to use function composition to so that the function is its own inverse.

Q: Find f if f"(x) = 2 + cos(x), f(0) = 7, S(x/2) = -6. f(x) = x^2-cos(x)+(-(13-pi^2/4)/(pi/2))+8

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Q: Find (f o g) (x) and (g o f) (x) and graph each of these functions. f(x)=sin x g(x)=4x

A: Given that, fx=sin xgx=4x Then we get, f∘gx=fgx=f4x=sin 4x Moreover we get, g∘fx=gfx=gsin x=4 sin x

Q: 1. Determine if the function is even or odd x*+1 g(x) = f(x) = sin x x3-2x

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Q: I dont understant this homework question.

A: Plug f(x)=yThen switch x and y.

Q: Which of the following functions does not have the property that f(x) =f(4)(x) ? A f(x) = sinx B…

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Q: If f(x) = sin x and f(a) = 3 / 5 , find f( - a).

A:

Q: Use the figure to evaluate the following function, given that f(x) = sin x. 2+y2 =1 (Simplify your…

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Q: Find the inverse of the function and state its domain. 1 f(x) = 2+ tan (Tx) for 2 - - What is the…

A: Explanation of the answer is as follows

Q: 1. Find the intervals on which the following functions have an inverse: (a) f(x) = H2-. (b) f(x) =…

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Q: The one-to-one function f is defined below. f() =x +3 Find f(x), where f is the inverse of f. 믐 ?

A: topic - functions

Q: describe the domain of the following functions. show all work  R(x)=ex/sin(x)

A: The given function is

Q: 4. Find the intervals on which the following functions have an inverse: (a) f(x) = TFr² " (b) f(x) =…

A: We can use the concept of inverse function in order to solve the given problem.

Q: Given that f(æ) = 2x + cos(x) is one-to-one, use the formula 1 (f-1)(2) = f'(f-'(x)) to find…

A: The function fx=2x+cosx is one-to-one.

Q: The domain of the function f(x)= tanh( - 23) is (A, 264)

A: Given,          The domain of the function fx=tanh-1xk-23 is A,264.

Q: If f ( x ) = sin ( x 3 ) , find f ( 15 ) ( 0 )

A: The Taylor series of a function about is given by .  When the value of a is zero, the series…

Q: State the range of the function f(x) = 3 cos ("X 플). O [-1/3,1/3] O (-00,00) O (-3,3] O (-1,1] O…

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Q: If g is the inverse of f(x) = ln r+ tan -1r, find g' 4

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Q: Find the definition set of the following function F(x)= √ln(sinπx)

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Q: i) h(x) = 5 tan(4e²" – 4)

A: Given, h(x)= 5tan(4e^(2x)-4) To find, dh(x)/dx= d (5tan(4e^(2x)-4))/dx

Q: Express the function F(x) = sin(x) in the form f g. f(x) = 8(x) =

A: We have to express Fx=sinx6 in the form f∘g

Q: Let f(x) = sin x, g(x) = cos x, and h(x) = 2x. Find the exact value of the expression f (4π/3 +π/6)…

A: We have given fx=sinx, gx=cosx and  hx=2x. We have to find the value of the expression…

Q: Graph the function. g(x) = 4 - 3 sin(x) O-7L

A:

Q: Q1 Find Maclaurim expression of the function f(x)=tan (x).

A:

Q: Find f if f"(x) = 2 + cos(x), f(0) = -9, f(pi/2)=9 f(x) =

A: Solution of given question is followed by:

Q: Differentiate each of the following function with respect to x. а) f(x) = 2 sin x- 3xr' +8.

A:

Q: Find f if f"(x)= e-sin z - 3 4√ f'(0) = 0, and f(0) = 8.

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Q: if F(x)=cos√x^2+2, find two functions f and g such that F(x)=(f o g)(x).

A: This question is based on the composition of functions

Q: Find f if f’’(x)=2+cos(x), f(0)=7, f(pi/2)=6

A:

Q: consider the ff. function: f(x, y) = cot" "^ (1+x) - 2x + ³y 3y 2e

A: Given the function             f(x, y)=cot-1(1+x)-2ex+3y Where              x=s2+t2,  and…

Q: Differentiate the following functions. You do not need to simplify, but you must show all your work.…

A: Differentiation with steps need to be done.

Q: Use the function to evaluate the indicated expressions and si f(x) = 15x – 21 %3D 1승) - f(x)

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Q: Determine if the function is even, odd, neither or both.  f(x) = cos(e^x + e^-x)+x^2

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Q: Find the points of inflection for the following functions if they exist: f(x) = 3x2 + 2 cos(x), f(x)…

A: Here is the solution of the given problem. Point of inflection of the given function f(x) is the…

Q: Transform the given function f(x) as described and write the resulting function as an equation.

A: We need to transform the given function.

Q: If you write the function h(x) = tan(2x) in the form h(x) = f(g(x)). then what is the function g(x)?…

A: Given ,  If we write the function h(x) = tan(2x) in the form h(x) = f(g(x))  We have to write the…

Q: If f(x) = sin x and f(a) = 1/4 , find the value of f(a) + 2f(-a).

A: Given f(x)=sin x and f(a)=14we have to find the value of f(a)+2f(-a)

Q: A. What is the domain and the range of the inverse function of f(x) = 4[sin(n – 2x) – 11 %3D

A:

Q: 27) Find the inverse functionf of f with its domain and range. f(x) = cos(x – 3) + 2; 3<x<n+ 3 %D

A: Given that, f(x)=cos(x-3)+2   ,  3≤x≤π+3 Domain of f(x)=[3,3+π] Range of f(x):- Range of f(x)=[1,3]…

Q: Let f(x)=sin(4x) A.) Find f'(x) B.) Find f'(3) and use it to determine whether f(x) is increasing…

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Q: Graph the function. f(x) = -3 + cos(x)

A: As we know that if fx transform to fx-a, it means that graph shifts vertically downward by a units.…

Q: What is the mid-line of the following function? f (x) = COS (3x − 1) + 4 3 1/3 4 -1

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Q: Find f if f"(x) = sin x, f'(7) = 0, and f(0) = 1.

A: Given that f''(x) =sinx,   with f'(π)=0, and f(0) =1  .We have to find the value of f(x). clearly,…

Q: Consider the function Find ¹(x), where is the inverse of f Also state the domain off in interval…

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Q: Plot the given function f(x)=x^2 sin(x) from -4 to 9 with an increment of 0.01.

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Q: The range of the function f(x)=2- sin 1x is: O a. [-1,3] O b. [-2,2] Oc. [-3,2] O d. [1,3] O e.…

A: We need to find the range of the function f(x).   Range of Sine inverse x is (-pi/2 to pi/2).

Q: Given f (x) = sin x and g (x) = cos x, show that f (g (5)) = 0. Show all your %3| steps.

A:

Q: Find the inverse of the function and state its domain. f(x) = 8 sin (7x) for 14 14 f- (x) = D (Use…

A: fx=8 sin 7x   -π4≤x≤π14y=8 sin 7xsin 7x=y87x=sin-1y8x=17sin-1y8f-1x=17sin-1x8