The one-to-one functions g and h are defined as follows. g={(-3, 2), (2, 0), (6, 1), (7, - 2)} h (x) = 3x + 10 Find the following. -1 8¹ (2) = 0 n ¹¹(x) = 0 (n'on (-1) = 010 X S

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A: Given, h(x) = f(x)g(x) f(x) = -3x2 - 4x +2 g(x) = -x2 +3x +2  We have to find h'(-1)

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A: The function h(x) is a composite function since its input is another function f(x). Now h(x)=[f(x)]2…

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A: Greatest integer function:  A function that results  in the greatest integer less than or equal to…

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Q: 3. Let h(x) = 2x - 3 and g(x) = 5 - x   a) Find h( g(2) ) b) Find h( h(x) )

A: 3. Let h(x) = 2x - 3 and g(x) = 5 - x (a) Find h( g(2) ) (b) Find h( h(x) )

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Q: Given f(4) = 13, f '(4) = 19, g(4) = 7, and g'(4) = – 10, find the value of h'(4) based on the…

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Q: Select which function f has an inverse g that satisfies g'(1) = Of(x) = 2x³ Of(x) == x³ Of(x) = x³…

A: To find the function  that has an inverse  that satisfies .

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A: The given function is fx=3x2+3x+2. (a) The average rate of change of f on [2, 7] is, Average rate of…

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A: (a) Option A is correct.The percentage of likely voters to support the candidate 8 weeks after…

Q: p(x) = x / 5 x = 1,0,1

A: Given, p(x) = x / 5 ;        x = 1,0,1

Q: If y = g(u) = u2 / (1-2u) and u = h(x) = x +5, determine the composite functions  (a). g(h(x))…

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Q: fand g are the functions whose graphs are shown, y = f(x) is in black and y=g(x) in red. Define H(x)…

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Q: Suppose that f(x) and g(x) are two functions and we know that: f(– 2) = 3 g( – 2) = 5 f'(– 2) = – 1…

A: We have to find

Q: For the function f(z) 2(x – 5) + 7, which of these equations describes f '(r), the inverse of the…

A: We wil use concept of inverse function to find the answer.

Q: The function h is given by h(x) = x5 + 3x - 2 and h(1) = 2. If h-1 is the inverse of h, what is the…

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Q: If f(x)=2x-3, and g(x) is a function such that g"(0) = 4 and (fg)"(0) = -4, then g'(0) =

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Q: Find the given value. g(x) = 5x3(x2 − 5x + 4),    g'''(0) g'''(0) =

A: Use derivative to get the value of g^"'(0).

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Q: - Show that f(x)= E ƒ(x), where E is a constant and f(x)= e²x + e2x

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Q: Find the first derivative of e O - (3x+2)e-³r x3 O (3x+2)e-31 x4 O(x-2)e-³x x3 O- - (3x²+2)e-3x x3…

A: To find the derivative of the given function.

Q: f(x ) = x2 g(x) = [ x/21 Select the correct value for f• g(- 3/2). O a.-1 O b.0 Ос. 1 O d. 3

A: