To find the inverse transforms, first express the given function of s into partial fractions which will, then be recognizable as one of the following standard form: 1. L-1[1/(s-a)2+b2] = (1/b) eatsin bt 2. L-1[(s-a)/(s-a)2+b2] = eatcos bt

Q: Let f(x)=9x+8‾‾‾‾‾‾√f(x)=9x+8 and g(x)=x+9g(x)=x+9 be functions from ℝR to ℝR. Find the following.…

A: We will find out the required values.

Q: 8) Find the inverse of the following function. f (x) = {(-3,6), (-2,5), (4, 2), (–4, 1), (5, – 5)}

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Q: Compute and completely simplify the difference quotient for  f(x) = √x+6   f(x + h) − f(x) h =

A:

Q: p(x) (x - 4 + Dx -4 - )(x - 4)

A: To find P(x)=x-4+ix-4-ix-4 We will use the concept of distributive law to find this.

Q: Describe the transformations for f(x) = 4log[- 3(x − 2)] + 1 from its base function.

A: The function .To Find:Describe the transformation of the given function.

Q: give the transformation of the base function f(x) = x^2, that would produce the following functions:…

A: give the transformation of the base function f(x) = x^2, that would produce the following functions:

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: Divide: -3+4x-x -7x+12 -6x+5 x-8x+15

A:

Q: what are the transformations of y=6/x-2  -3

A: Y= aF(x-h)+K  Here h and k represents horizontal and vertical shifts according to their signs  a…

Q: As the number of hours since you ate protein increases from 2 to 2.75 hours what is the average rate…

A: Given: At 2 hours B1=1100 mg/L At 2.75 hours B2=1025 mg/L

Q: what is the inverse of the linear function  f (x)2/3 x - 6?

A: Solution: Consider the given linear function is: f(x) = 23x - 6 A function g is the inverse of f if…

Q: 1. Find the inverse of the function f(x) = 2x+1 3x-4

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: What happens to this base function that went from  a(x)= x2 to  h(x) = -x2+ 4 and why it happened?

A: The objective of the question is to understand the transformation of the base function a(x) = x^2 to…

Q: Find the inverse of the functionf(x) = √(r 2 - x2) , 0 ≤ x ≤ r

A: Inverse actual meaning is upside down, and in the function case the meaning of inverse of the…

Q: an initial investment of 1500 thousand dol ollars at the end of each of the next two qua The…

A: Given: Initial Investment=$1500000 Further investment=$250000 (Quarterly) Operating cost=$120000…

Q: 2 1. x3/8

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Which of the following functions has an inverse? xlxl (a) x³ + x - 1, (b) x³ - x + 1, (C)- x+1 - (d)…

A: (a) fx=x3+x-1 If no horizontal line intersects the graph of f more than once, then f does have an…

Q: Find the composition m(n(x)), where m(x) = -8 and n(x) =- 11. %3D x+11 Based on your work above, do…

A:

Q: What is the inverse of the function 2х + 1 f:R → R, f(x) ? 3.

A:

Q: Consider the function f(x)=(x-2)^2+1. Applying the following transformations. At each step, describe…

A: Note: It is assumed that the vertical translation is positive.   The vertical shift in the graph of…

Q: 3. Describe the transformations on y = 3* to become y = −2(3*) + 1

A: 3. Given that the function is                                           To describe the…

Q: The 4 in the function g (x) represents what transformation of f (x) = x² g (x) = -3(4x + 6)² – 7

A: Consider the provided function, Given, fx=x2and, gx=-34x+62-7 The 4 in the function g(x), represents…

Q: 5. Use transformations to sketch the function y=-3log10 (x-1) +2.

A: We have y=-3log10x-1+2 Now, if the original function is y1=log10x, then we apply various…

Q: -8x2 + 16x + 8 dx (x – 1)2(x² + 1)

A:

Q: If we were asked to write the transformations y = x² +2 and y = x – 2 in terms of the original…

A:

Q: Differentiate the following functions using product rule. 1. f (æ) = (3x – 9) (x – 6) 2. ƒ (x) = (æ³…

A: The product rule of differentiation is given by: ddxf.g=dfdx.g+f.dgdx

Q: a) (Given the function ,f (x).Describe the transformation in a proper order needed to create…

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Q: Find the LCD of [(3/x + 1)and (5/x - 1)]

A: Given:               3(x+1) and 5(x-1)   To determine:            LCD of the given expression=?…

Q: Describe the transformations of the following cubic functions from the parent function f (x) = r %3D…

A: