Let X have the pmf p(x) = (12 )x, x = 1, 2, 3, . . ., zero elsewhere. Find thepmf of Y = X3.

Q: If  f(x) = 3x + 1  and g(x)=4/x.find f(g(x)) and g(f(x)).

A: Given f(x)=3x+1 and g(x)=4x we have to find f(g(x)), g(f(x))

Q: f(x) = Vx+9– 10.

A: We can solve the given problem using concept of function.

Q: Let t(x) = 2x - 1 and m(x) = x² - X. Find m(t(x)) Be sure to simplify your answer. Use the fx button…

A: Given, t(x) = 2x-1, and m(x) = x2-x m(t(x)) = m(2x-1)

Q: Consider the functions, h(x) = 3x – 7 and k(x) = . b. Find h(k(x)) X+7 | a. Find h(k(- 2)) c. Find…

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Q: Find f(x) and g(x) such that h(x) = (fog)(x). 4 h(x) = (6x+3)* Choose the correct pair of functions.…

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Q: If the function f: R→R be defined by f(x)=x² +5x+9,Find f'(8) = and f'(9).

A: The given function is fx=x2+5x+9

Q: Let f(x) = 3x - 1 and g(x) = x? + 2. Find (fo g)(7). (fo g)(7) =

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Q: Define f (x) = 4+x – x² and g(x) = 5x 3. - Find the value of (go f)(3). o f)(3).

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Q: Find h(0), h(x + 3), and h(-x) for h(x) = x + Vx² – 1. 2)

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Q: Let f(x) = 2(x − 3)2 − 4. Find  f(4). f(4) =

A: To calculate f(4) when f(x) is given , we just need to put x=4.

Q: Evaluate C(x,(x−1))

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Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

Q: If f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and  f(4). Is f(x+y) =f(x) +f(y) for all…

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Q: If P(x) = x2 + x + 1, find P(7). P(7) =

A: Given that  P(x)=x^2+x+1  To find the P(7)

Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: Find y 1f y=X in (4x+1)

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Q: Define f (x) = 2 – 3x2. Find the exact value of f (). (€)

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Q: . Let f(x) = x2 + x + 3, g(x) = 5x + 3 and h(x) = 2x2 – 4x + 1. Find the following: a. f(4x) b.…

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Q: Find fogo h. f(x) = x* + 8, g(x) = x – 6, h(x) = Vx

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Q: Find In such that: F(x) = x²³-8x²+ 9x +18=0

A: The given polynomial fuction is

Q: If P(x) = x +x+ 4, find P(8). P(8) =D

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Q: Find functions f and g such that h(x) = f(g(x)), when h(x) = (9x³ – 5x)³ – (9x³ – 5x)² + 11.

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.