22. The function f(x) = Vx – 6 is transformed according to (x, y) → (7x – 7, - y+1). the transformed function, y = g(x), is Og(2) =-/=-7-1 Og(z) =-V7æ – 55 +1 Og(x) =-V7x+43 –1 Og(x) =- x -5 +1

Q: 5. Let f(x) = x² + 3x and g(x) = 2-x. (a) Find (f - g)(x) (b) Find (fg)(2) (c) Find (4) (x) and its…

A:

Q: If y = 5(1 - e-2x), compute y and show that y = 10 - 2y.

A: To compute y'

Q: Find all functions y satisfying y" + y" = y' + y. You may use the factor- ization x + x² – x - 1 =…

A:

Q: Find f′(9) if f(x)=7x2 +5x+5/ √x

A: To find f'(9) , initially we have to find f'(x) from the given f(x) then substitute x=9 in the…

Q: f(x) = 8+x 8 - x on [4, 6].

A:

Q: -4x For the function f(x) = e¯X+4e*, then f(x) = %3D

A:

Q: Give the domain for t(x)= x+1/x2-3x-18

A: Given function is,

Q: Calculate R5 for f(x)=4x2+6x over [-1,1]

A: The objective of this question is to calculate the Riemann sum, specifically R5, for the function…

Q: Prove x²(x-y)² =x² -y²

A: Substitute x=y in the given equation Then x2(x-y)2=0 ....... (1) and x2-y2=0 ....... (2)

Q: Calculate R3 and L3

A:

Q: 10. (a) Describe the transformations of y = x³ into the function f(x) = 8(x-1)³ -5. = (b) Describe…

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Q: Specify the symmetry of the following functions: (a) y (x1, x2) = 4(x1 – x2)² + T0 xf+x3 (b) p(x1,…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Define f(x ) = Vx2 +1 and g(x) = 2 – x2. State the domain of (f + g)(x ). x # v2, –v2 - [-1, 00)…

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Q: B. Let f(x) = x – x - 4 and g(x) = 2x – 6 4.) Find ()(x - 1) 5.) Find (4) (x)

A: topic - functions

Q: Find the linearization of the function at x = 1. * f (x) = 2x³ - 3x + 7 O y = 6 + 1(x - 3) O y = 6 +…

A: Given, fx=2x3-3x+7

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A: Given functions, f(x)=x2-1 and  g(x)=3x

Q: Let f(x)= -x-1, h(x) = -x + 5. Find (h of)(2). (hof)(2) =

A: The answer is given below: Topic: Composite Function

Q: 4 Simplify to approximate the sum of the area using right end points. j=1

A: Answer is here

Q: 2 (x? - х- 6) R (x) X State the domain of the following function : 7(x? + 4 x – 21)

A: Given the function:       Rx=2x2-x-67x2+4x-21 Find the domain of R(x).

Q: 3. Find the Domain of the function : h(x)= x²-5 (a) (-00, -5] U,500) (b) R (c) (-0,5) (d) (-5,5]

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.