Let E(X)=−7,E(Y)=4,var(X)=16 and var(Y)=8 Calculate (a) E(2X+4Y). (b) E(X − 2Y − 2022). (c) var(2X + 4Y ). (d) var(X − 2Y − 2022).

Q: Suppose f(x) = 5x 6 and g(x) = vx² – 4x + 8. %3D - - (f o g)(x) = (f o g)( – 5) =| %3D

A:

Q: b) y = (3x-1)e-x²

A: The equation you've provided is a mathematical expression in terms of a variable x, given by:…

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A: Given that f(x) = −x2 − x − 4 Therefore f(-4) = -(-4)2 - (-4) -4 -> f(-4) = -16 + 4 -4 ->…

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A: To compute y'

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

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A:

Q: + 1) =-2fn what

A: Function: f(1)=160   f(n + 1) =-2f(n) If we put n=1 f(1+1)=-2f(1) f(2)=-2.160 f(2)=-320

Q: If f(x) = 6 − 8x, find f −1(−18).

A: Please refer the attached image for complete solution.

Q: If f(x) = x2 + 4x − 7, what is f(7)?   f(7) =

A: Given that f(x) = x2 + 4x − 7 To find f(7) we have to put x = 7 in the above equation.

Q: Find-f(x) when f(x) = 3x+4x+4. O A. 3x-4x-4 O B. -3x-4x-4 OC. ОС. 3х- 4х +4 O D. -3x -4x+4

A:

Q: Let f(x)=x+2x+9f−1(−8)=

A: The given function is

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A: differenciate given expression with respect to x

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A:

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A: Given  f(x)=x2+13 f(-6)=?

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A: Given information: F(x)=8+2x

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Q: t(x) = 2x-7 If t(x) =19, x=?

A: The objective of the question is determine the value of "x".

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Q: Let  f(x) = (2x − 9) / (x + 2). (b) Show f −1 exists. Let f(a) = f(b) and show that a = b.…

A:

Q: Let  f(x) =    7x − 2,     x ≤ −5 −x2, x > −5.  Find  f(−1), f(−5), and f(−6).

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Q: Let y=(x2-1)3 Find yn

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Q: (x)=4(10x7−9x4)14   find derevative

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Q: c. f(x) = v4x + 5 when x = 5 %3D d. f(x) = {2x S4x2 +8 x s 5 x > 5 when x = 5 %3D

A: From the given problem: (a). fx=x2+4x+10 Now find the value of function value at x=3. f3=32+43+10