6. What is (fog)(11) if f(x) = V- 3 and g(z) = z-7? O (fog)(11) = 3/2-3 O (fog)(11) = VII - 10 O (fo g)(11) =-1 O(fo9)(11) = 5

Q: (4x -1-7) dr– (5x - 21-8) di = 0, when 1 = 1, x = -2 D (x-1-1)' = 8 (2r-t-3) O (5x - 21 - 8) = 3 (2x…

A: (4x-t-7)dx-(5x-2t-8)dt=0 when t=1, x=-2

Q: (15) If X-exp(1), then (a) 2X-exp(2) (c) 2x~exp (¹) O a O b O C Od (b) 2X-X² (2) (d) 2X-G(2,1) is

A: Given that X~exp(1) then  We have to find 2X follows which distribution:

Q: If F(n) = Σo(d) then F(175) d|n

A: What is Sum of Divisors: For a positive integer n>1, the fundamental theorem of arithmetic shows…

Q: 4. Find (f-g)(x) if f(x) = -2x + 4 and g(x)=x²-3x+5. O (f-g)(x) = -x²+x-1 O (f-g)(x)=x²-5x +9 O…

A: Topic - Functions We are givenf(x)=-2x+4,g(x)=x2-3x+5

Q: 6. f (x) = 7x − 4 (c) f (b)

A: Here function as fx=7x-4

Q: If f(3) = 1, f0(3) = 3, g(3) = 2, and g0(3) = 4, what is ( fg)0(3)?

A: Given: f(3)=1, f'(3)=3, g(3)=2, g'(3)=4

Q: 31. Evaluate

A:

Q: If h(x) = x² + 2 then h*(11) + h(-4) is

A: We have to find the value

Q: (P) xp- (e) fx dx (1) √(2x² - 6² xp(x9

A:

Q: If f(x, y) = 7(92-67, then 1 9(9x-6y) ' is given by: 18 (9x-6y) 12 (9x-6y)3 18 (9x–6y)³ 12 (9x-6y) O…

A:

Q: f f(x) = 4x + 5, what is the value of fl-3)? 1) -2 (3) 17 2) –7 (4) 4

A:

Q: 2. h(a) = 3a +3 g(a) = a +3 a. (h. g)(5) b. (goh) (²) C c. (goh)(x)

A:

Q: L 1. Find (f. g)(x) if f(x) = x²+2x+4 and g(x) = -2. O (f.g)(x)=x³-4x²-8x+8 O (f.g)(x)=x³+4x²+8x-8 O…

A: Find the (f•g)(x)

Q: 1. Find for y = In () (A)+ 1 3x-2 X-1 1 x-1-x2 (B) x2 - -- x-1 x (х-1) x2 x2(x-1) x-1 1 X-2 (D) (E )…

A:

Q: 4. If f(x) = x² + 2 and g(x) = 2x − 1, what is (fog)(x)? (A) 4x² - 4x +3 (B) 4x² + 3 (C) 4x² - 4x +…

A: Detailed solution will be given below

Q: (b) у %3 3* (d) у —D (а) у — Зх (c) y = x³ y A F f G

A: To Determine: find the graph of the following function. Given: we have a graph  Explanation: we have…

Q: If f-1(15) = 3, Which of the following can be f (x)? a) f(x) = V5x +1 b) f(x) = 7x -5 c) f(x) = x3 -…

A: We will use concept of function and inverse function.

Q: (D3 + 7D2 + 19D + 13)y = 0

A:

Q: f. f(t) = eat cos² b t.

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: f(0)=2 and f(n+1)=3f(n)-1. Find f(4)

A: To find f (4), obtain f (0), f (1) and f (2) as follows.

Q: Suppose 7x-19 f(x)= x2 6x 9 Then В f(x) х-3 (х-3)? and B = where A

A: Given function is

Q: 3x2-3-4e2x and y(0) 8, then y= If dx x3- 3x - 4e2x x3- 3x - 2e2x + 8 x3- 3x - 2e2x x3- 3x - 2e2x +…

A:

Q: 2. If f(x)=((-4,4)(-3,0)(-2,8)(-1,-2)(0,-4) (1,5)) and g(x)=((-3,0)(-1,6)(1,-4) (3,-2)), determine…

A:

Q: 1fd³y ydx 'y da (21)

A: Given: I=∫d3ydx3ydx. To be find: evaluate the integral. Concept: for evaluating the integral will…

Q: What is (go f)(x) if f(x) = VE – 3 and g(x) = x – 7? O (go f)(x) = Væ – 7 – 3 O (go f)(x) = VI – 10…

A: If f(x) and g(x) are two functions then (g∘f)(x)=g[f(x)] Given functions are,  f(x)=x-3g(x)=x-7

Q: Suppose f(x) = 9x 2 and g(x) = Vx – 2x + 6. - - (f o g)(x) = (f o g)(2) = %3D

A:

Q: 29 19 f(a) - f(=) = / f(2) 10 10 whoro ond h

A:

Q: are there any problems where (fog )(x)=(gof )(x)

A:

Q: 11. Given that f (x) = 2x +1 and g(x) = x² find (a) (fog)(2) (b) (go f)(x) (c) f(f(x)) (d) g(g(3))

A: we have to find the following

Q: Vx (x+2) dx = (A) 국2+4 (B) r2+2 + C (0) 등(금2+ 2x)+C (D) ++C 3/2 +x3/2. 3 x (2 5 1 -+ C

A: Given, ∫xx+2dx  We have to integrate it .

Q: What is (fo g)(-1) if f(x) = 2x + 3 and g(x) = ? %3D O (f o g)(-1) = O (f o g)(-1) = 2; O (fog)(-1)…

A:

Q: f(х) — х -6х' + 11x-6

A:

Q: 2. If f(x) = x² + 4x + 6, which of the following is equal to f(x + h)? (A) x² + 2xh+h² + 4x + 4h + 6…

A:

Q: 12. f(x)= x³ 3x² + 6x-4 and g(x) = 2x − 1 Find a) f(-1) b) gf (x) - c) g-¹(x)

A:

Q: If h(x) = 4x – 3, what is an equation for h-1(x)? O A. h-1(x) = 3x + 4 O B. h-1(x) = 3x – 4 O C.…

A: