[3) is defined by f (x) = 15, Зх +4 and 5х-7 Show that if f:R- →R- 7x+4 8:R- is defined by g(x) = , then fog = I, and gof = Ip, where, 5х-3 S31 B = R- A= R- ;I,(x) = x, € A, I, (x) = x, xE B are called identity functions on sets A and B, respectively.

Q: For f(x) = メ-4 . and g(x) = x+5. メ-8 メ+7 1.) First, find: fog •gof •fof •gog 2.) State the domain of…

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Q: Estimate f(2.98, –1.99) given that f(3, –2) = 2, f«(3, –2) -3 and fy(3, –2) = -4. = f(2.98, –1.99)

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Q: The domain of the function f(x) = v2x- 3 is -) a) b) c) (-0,2] d) (-0,3] b d. a O c

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Q: f(x) = x²-6x+5, what is the domain of the inverse of the function  (f^(-1))?

A: f(x)= x2 -6x +5 f(x)= y= (x-3)2-4 Graph of f: f(x)= (x-3)2-4 is an upward parabola having veterc at…

Q: 6) Differentiate: a) f(x)= 5x-3 +1)

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A: Given:- fx+h-fxh=x+h+4-x+4h

Q: Use synthetic substitution to find f(2) and f(- 1) for each function. f(x) = x ^ 3 - 5x ^ 2 - x + 6

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Q: 2) If f(x) = , then f() : 2x + 3 6x – 5 SHOW ALL YOUR WORK =

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Q: Suppose f(r)=1+3r^2. Evaluate the function for each of the following values of its argument: 1. with…

A: Find the function by substituting the given arguments.

Q: Differentiate the following function. y=x(x5 + 5) 3 Choose the correct setup below to differentiate…

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Q: (fof-¹)(x) = 26² 3x 2 -44x+1 2 3(3x² + 4x +) 2 )-1 44

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Q: Find the derivative of the function. Ax) = 6x (9 - 8x)* O (- 12x) (9 - 8x)' (6x- 9) O (-181 )(9- 82)…

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Q: Suppose the domain of f(x) = [-2, 3] and the domain of g(x) = [-3, 2]. %3D %3D Find the domain of…

A: Solution: Given, Domain of f(x) = [-2,3]  and domain of g(x) = [-3,2]

Q: Find the ain of the composite function f og. dom f(x) = 5x + 20; g(x) = x + 7 %3D

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Q: Suppose f(x) = Evaluate: Зх + 4 Write the answer in its exact form as an integer of a fraction in…

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Q: known that the points (4, 7), (8, 11) and (14, 18) are on the graph of the function y = f(x). It is…

A: Given: (4,7),(8,11) and (14,18)   are on the graph of y=f(x)

Q: Let f(x) = Vx +7 and g(x) = x +3 a) Find (2) (2) show work. b) Give the domain of the function (-)…

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Q: 6. If f {(1,-3)}, (a) find the domain and range of f. (b) find g(r) = f(r+2). (c) find h(r)=…

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Q: Evaluate the following: 1. f(-2)= 2. f(-1)= 3. f(5)= f(x) = 2 x² + 2x x + 3 if x -1.

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Q: APQR = R R(R(AABC)) Given the fact that the coordinate plane below, which single-transformation and…

A: Given: Triangle ABC…

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A: Consider the given function

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A: We have to determine the intervals at which the function  is increasing or decreasing.

Q: If f(x, y) = 7x + 3exy, find the following (a) ax? (b) ду дх (c) Әх ду (d) ay? II II

A: we need find first and second partial derivative

Q: Let f(x) = x^2 and g(x) = 2x + 1. Simplify the following : i) (f + g)(4) ii) (f ◦ g)(x) iii) (g ◦…

A: We will simplify the following.