8 3 7 9 5 4 f(g(7)) f(f(8)) =

Q: 3 42. f(x) = 2", g(x) + 1

A:

Q: 3) f(x) = 2(x + 2)3 – 2 10 21 10 -8 -6 -4 -2 2 4 -2 6 8 10 -4 -6 -8 -10 4.

A: We have to construct the transformation from the parent function.   NOTE :: As per our guidelines we…

Q: 5 4 2 3 The value of this second-order is | ||

A: To find: 5423 Solution: We know that determinant of the 2×2 matrix is called the second order…

Q: 9. 3. 2. 士 54 -3 210 2 34 4. F2 3. 4 5. 9. rise run N 的 主 主 主

A: The rise and run figure is given below.

Q: 1X-41 13. What is f (-7),ƒ(- 5) f(- 3),f(-1),f(1),ƒ(3),f(4) IX-71 D B 1. 14. What is f (-7),ƒ(- 5)…

A:

Q: f(x) = (–9æ² – 8)*(6æ² – 4)° f' (x) =

A:

Q: 6. 8 7 6 f 4 3 0. -10 -9 -8 -7 -6 -5 -3 -2 -1 1 10 -1 -2 -3 40 -5· -6 -7 8 -9

A:

Q: a. 8:6=4: 3 24 24 b. 3:8 = 6: 5 c. w:x y: z 48 15 ху WZ 1. 7: 10 - 21: 30 2. 8:9- 2: 3 3. 35:40=7:8

A: Note: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: 10 8. 6. 4 -10 -8 -6 -4 -2 2 4 6. 8. 10 -2 -4 -6 -8 -10 for f(x) = for

A:

Q: 5s+3 6s 8 F(s) - (5s2+4s+1) s2+7 9.

A: The laplace transform formulas for e^(at)cos(bt) and e^(at)sin(bt) will be used in solving this…

Q: Determine £ {F}. -26s-20 F(s) = %3D (s+ 1)2(s + 6)

A: Inverse laplace transformation of -s2-26s-20s+12s+6

Q: 10 g(x) 3 2 -10 -9 -8 -7 -6 A3 -2 -1 | ! 2 3456 78 9 10 f(x)

A:

Q: 11. f(x) = -6(0.7)* 12. f(x) = -4(3)*

A: 11) f(x)=-60.7x

Q: 3. 7 8 f(x) 1 7 1 g(x) 8 7 8

A:

Q: ) F:( -3 7 1 2 0 0 2 1 -3 -2 0 2 E: 3 -1 4 1 3 1

A: Consider the matrix as, E=-2023-14131 Use elementary transformations to convert to Echelon Form.…

Q: 5. f(x)= x³; [2, 3]

A: To calculate area under curve we have to integrate the function within the given limits Please note:…

Q: 4 9 5- .2 13) =D1 7 2+-+ X x²

A:

Q: 5 — 4х3 + 2х6 g(x) x6

A:

Q: 4. В 3D {f(X), f"(X), f"(X), X3}. 5. В %3 {1+ /2: X3, X +2, X?, X+3}.

A: n linearly independent vectors in n dimensional vectors space form a basis.

Q: 6 4 3 2 1 13 -1 -1 4 -5 -4 2 5 -3 -4 -5 -6+ y(x) =

A:

Q: g(x) 4 3 2 1 3 4 9. 2.

A:

Q: 16. f (x) = 3 – |æ – 3|, [0, 6]

A: Explanation of the solution is given below...

Q: 5х + 3, х < 1 f(x) = {x? + 4, 1<x< 2 ( x², x2 2

A:

Q: Determine £'{F}. 45 +8 s*F(s) + 5sF(s) – 6F(s) = s* + 3s

A:

Q: 2. Estimate g(1.2) – g(1) if g'(1) = 4. -

A: Given, g'(1)=4. The formula for the linear approximation is, g(x)=g(a)-g'(a)(x-a), where x is near…

Q: 7. f(x) = 3√x; [1,4] 8. f(x) = x-2/3; [1,27]

A: We can solve this as follows:

Q: 2х + 1 5. f(x) = Зх + 4 6. х — ху + у- %3 3 7. ( х+2)3 х — 3 | ||

A:

Q: 3. If h(x)= 3" and g(x) = 5x-7 then h(8(2))= (1) 18 (3) 38 (2) 12 (4) 27

A: 3) Composite function: A composite function is a function in which the output of one function is the…

Q: + 9, 9, 19, f(x) = 4 – x, g(x) = x² – 3x f + g)(x).

A:

Q: 3 -3 -2 -1 3 4 5 -1 -2 f(x) -3 2. 5 4.

A: Given that Graph of f(x) To find : f-12solution if  f(x) is given let y= f(x) interchange y to x…

Q: 4. g(w) = (3w - 2)*(5w – 4)² 5. G(u) = u³(u+ 1)²(u + 2)

A:

Q: -6 3 4. f (x) -5 -1 1

A:

Q: 2) 12х + у 3 5 1-2x + y = 1 3-

A:

Q: 5 f(x) -10 -5 5 1 -5 -10 LO

A: On numbering each column in graph we get that, point of intersection of line and x axis is at x=8

Q: At what points are the functions continuous?

A: Given function is For ,  which is defined for every x such that Therefore, f(x) is continuous for…

Q: f(x) g(2) 4 4 1 4 7 1 9. 8 f(9(2)) = 9(f(5)) = f(f(3)) = 9(9(6)) 6 678

A: We need to find the values of f(g(2)), g(f(5)), f(f(3)) and g(g(6)) from the table given.

Q: ト 2. f(x) 3 -1 1. 2 3 4 5 6 7

A: We have to find out the domain

Q: 5 -10 3 -7 -2 2 -9 -1 [F] [G] = -2 -4 -9 -6 8 1 7 3 2[F] – 3[G] =

A:

Q: 8 3) If f(x)= 2 (x-1)*, then f (2) (1) = Σ k=0 a) b) 2 c) 4 d1

A:

Q: 7 ) 5 In en³x² + 3 2 - 5 8 f (x) = -2x) 2ex4

A:

Q: 8 7 6 54 32 3 1 -4-3-2-1 + valuate f(2): (2) = olve f(x) = 2: 1 2 3 4 5

A: since horizontal axis represent x values and vertical axis represent f(x) values. so, from graph we…

Q: f(x) g(x) 9. 1 6. 4 4 1 6. 8. 2 8 9. 8. 1 54 27 6, 3. 2. 3.

A:

Q: 1 2 3 4 6. f(x) 3 1 6. 3. g(x) 4 1 3. (g ० )(2)

A:

Q: g1 (x) -2 11 -1 8 1 -1 g1 (x) -2 -11 -1 -8 0. -5 1. -2 1 5, 2. 2.

A:

Q: determine L−1[F].

A: Consider the following function: Fs=s+2s+22+9=s+2s+22+32 Consider the following formulae:…

Q: ) = 2, g(3) = 3, g(4) = 2 %3D = 6, f(3) = 5, f(4) = 6 g)(2) + (g(2) · f(3))

A: Given: g(2) = 2, g(3) = 3 ,g(4) = 2 f(2)= 6 ,f(3)= 5, f(4)= 6

Q: 0. -2 5S-1, (f) /() す。 1sく2.

A: (f) Given function is fx=0,  −2≤x&lt;−1x,  −1≤x&lt;10,  1≤x&lt;2. We have to find the Fourie series…

Q: 1) f(9(-3) =. 9( C)) = - 2) f(a(-5) = . 9((-2) =. 10

A:

Q: х2 + 6х + 8 х -2 х+3

A: