Let f(x) = x² + 2x – 1 and g(x) = 2x – 4. Find 2f(x) – 3g(x). %3D

Q: Var(5 + 2vx) = 4(E(x) – (E(Jx))² true False O

A: From the provided information, Var (5 + 2√x) = 4(E (x) – (E(√x)))2

Q: Let f(x) = - 4x- 1, h(x)= - X- 3. | Find (fo h)(4). (f o h)(4) =

A: Given  f(x)=-4x-1h(x)=-x-3 to find foh(4)

Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

A:

Q: Let f(x) = V2 - x+ 8. Determine f-(x) and the the domain of f(z). f(x) = %3D Domain of f-(æ) =

A:

Q: Find f′(x) and f′(c). Function f(x) = (2x2 − 3x)(9x + 4) Value of c = −1

A: f(x) = (2x2 − 3x)(9x + 4) c = −1   f'(x) = (2x2 − 3x).(9x + 4)' +  (2x2 − 3x)'. (9x + 4)        =…

Q: Find the zeros. f(x) = x' - 4x2 + 3x + 2 %3D

A: Here given as fx=x3-4x2+3x+2put x=2f2=23-4×22+3×2+2=8-16+6+2=16-16=0⇒x=2 is zero of f.⇒x-2 is a…

Q: Find f ′(x). f(x) = 6x15 − 7x3 + 2

A:

Q: Find the indicated outputs for f(x) = 2x² - - 2x.

A:

Q: If f(x) dx = 3x8 - 5x + C, find f(x). f(x) = %3D

A: The given integral is ∫fxdx=3x8-5x4+C

Q: Let f(x) = - 9x + 12 and g(x) = x2 + 6. %3D Find f(5) + g(5).

A: Given that f(x)=-9x+12.       and g(x)=x2 + 6 find f(5)+g(5)

Q: If f(x) = Vr – 4 – 3x, find f(4), f(8), and f(13). %3D

A: f(x)=x-4-3x

Q: a. Find ux b. Find uy C. Show that u satisfies the partial differential equation xux + yuy = 3u. %3D

A: In this question we have to find differentiation for the for the following question.

Q: Let f(x) = x² 4. Find f(3 - V13) – 6x – . %3D

A: Given:            fx=x2-6x-4 Find; f3-13 f3-13 =3-13 2-63-13-4 Simplify using : a-b2=a2-2ab+b2 3-13…

Q: X If f(x) = /x, g(x) = 3 and h(x) = 3x + 9, find f(g(h(x))). |

A: Given the functionsf(x)=x,g(x)=x3 and h(x)=3x+9

Q: Given f(x) = x2 – 2x and g(x) = 3x² + x – 1, find f(x) – g(x).

A: Solution

Q: The function f(x) = 2(x-3)2 + 2 will be wider than y = x2. %3D True False

A: Here,  f(x)=2(x-3)2 +2and y=x2 is given. The graph of the functions is as shown

Q: Let f(x) = 1. x+ 8 |3D f-(- 8) %3D

A:

Q: Find f(0), if f(x)=3 – 5x + x2.

A: Given function is, fx=3-5x+x2. The objective is to find the f0. Function is described as the special…

Q: Let f(x) = 6x – 10. Find each of the following: %3D f(a) = %3D 2f(a) = %3D f(2a) = f(a + 2) = %3D…

A: We have to find function value

Q: Suppose that f(x) = 6x + 7x 2. Evaluate each of the following: %3D

A: Here we have f(x)=6x-4+7x-2 .................................. (1)  Differentiate with respect to x,…

Q: Let f(x) and g(x) = 2x +9. %3D Then (fo g)(1) (f o g)(x) %3D

A: Substitute g(x) for x in f(x) to get (f o g)(x). This also means: (f o g)(x) = f[g(x)] Substitute…

Q: Let f(x) = 4+ V2x – 5. Find f-1(æ). f-(2) = Check Answer

A:

Q: xe 47. h(x) Rule %3D x + 1

A: