.Let f(x) = ax +b, and g(x) = cx +d. Find a condition on the constants a, b, c, d such that f◦g=g◦f.

Q: . If f(x) = - x and g a) (f + g)(x) = \\+2x (4-x)+(3x+7) = 11 + 2x c) (f. g)(x) = (4-x)-(3x+²7)…

A: We are given the functions and we need to find out the following functions as given in the question.

Q: Let C(a) be the predicate " is a comedian, and let F() be the predicate" is funny." Match the…

A: Given: Cx is the predicate 'x is a comedian' and Fx is the predicate 'x is funny'. It is required to…

Q: Let 2 f(x) = a² + 9 and g(x) = /3x – 5 If h(x) = (f o g)(x) and k(x) = (go f)(x) then h(3) and k(3)…

A: Composite functions

Q: If f(x)= [2 x] then f(-2.1)= O a) -5/ b) -4.2 c) -6 d) -7 Oe) None of the above.

A: Ans:- (a) -5  For detail...go through the solution...I have solved in detail

Q: If A- A = I, then (4-1) = %3D

A:

Q: Suppose that j(x) = h¯¹ (x) and that both j and h are defined for all values of x. Let h(6) = 4 and…

A:

Q: 1. (a). Show that (1 · 1) + (0 ∙ 1 + 0) = 1. (b). Find the value of (1 + 1) .

A:

Q: If f(x) 52-8 ²-8 f (4x) + 1 = for x + √8, what is ƒ (4x) + 1?

A:

Q: Show that Q(4 - i) = Q(1 + i), where i = √-1.

A: To show that ℚ4-i=ℚ1+i. That is we need to show that ℚ4-i⊆ℚ1+i and ℚ1+i⊆ℚ4-i. Here i=-1 that is…

Q: (x – 2)²(x+3) (x - 1) (x+2) 6) Let R(x)

A:

Q: 4 |(3t2 – 2t + 5) d

A:

Q: Ex: 5 R T Ex: 5 R (ED) -¯¯ T (ED Т 4 -2x1x₂x3 x1 + 2x3 Ex: 5 Ex: 5

A:

Q: Find (f 9)(x) if f(æ) = –5æ² + 2æ + 7 and g(x) = x + 1. O (f 9)(x) = 5x + 7 (f 9)(x) = -5x + 7 O (f…

A: Given fx=-5x2+2x+7 and gx=x+1

Q: f (x) = x²ex3-I

A: Given:        f(x) = x2 ex3-1

Q: -2 3 A = :), f(x) = -4x + 2 5 3 ON(-20 10 -12 -10 0 3 OB ( ) 8. -10 -12) -18 35

A: Here we will find f(A),

Q: Set f(x) = In(9x - 8). Question 1 For k > 1, f (k) (1) =

A:

Q: Suppose x E R. If x³ – 4x4 + 3x3 – x² +3x – 4>0, then x2 0. - |

A: Given that x∈ℝ. We have to prove the statement "If x5-4x4+3x3-x2+3x-4≥0, then x≥0" by using…

Q: Find the equations of the asymptotes of R.

A:

Q: If f is invertible and f(- 15) = 6, then %3D | f-(6) and (f( – 15))¯ -1 %3D

A:

Q: A particular road is used by N drivers each day. Each driver obtains a benefit v from the journey…

A:

Q: 10, 14, 16, Page 52. Find the real and imaginary parts of the following functions: (a) f(z) = −3z +…

A:

Q: Can you proof the following. P( a1 < X < a1 , b1 < Y < b2 ) =  F(a1,b1) + F(a2,b2) - F(a1,b2) -…

A: Let F be the distribution function of a two dimensional random variable (X,Y). Then,if a1&lt;a2 and…

Q: M0 Sketching Graphs Functions In Exercises 9-12, sketch the of Quadratic M graph of each quadratic…

A: 12. (a) The graph for the function y=x2 is the parent curve for the given quadratic function. Plot…

Q: 2j(5-j3) B) Given that (2a+jb)+(b-j3a)=- Obtain the values of a and b. (2+j)(1+j4)

A: Solve the left and right-hand side independently left-hand side 2ab+3ab+jb2-6a2 5ab+jb2-6a2…

Q: s) Let f(x) 1 and g(x) 4 + 6. - х — 6 Then (fo g)(x) = (go f)(x) =

A:

Q: Suppose L(x) = "x is a llama" and E(x) = "x is an emperor." Do the following to statements mean the…

A: Consider the given information:

Q: Suppose that F(x)=f(g(x)) and g(14)-2, g(14)-5, f(14)-15, and f'(2) - 11. Find F(14). O 17 O 55 O…

A:

Q: Let f(x) 273 find f(") (x). O a. (-1)"(2+2)! 4743 O b. (-1)" '(2+2)! 4013 O c. (-1)" (2- 2)! O d…

A:

Q: Q2) If f (x) = x + 5 and g(x) = x² – 3, find the following: %3D 1) f(f(x)) 2) g(f(x)) 3) f(g(x)) 4)…

A: Given that: f(x)=x+5          and    g(x)=x2-3

Q: 3 را (x) = 2x+7 cl if -5 ²x C1 X = 1 8 If 12X=3 7 11x-2 31 if x > 3 A) use 3-step formula B) is f…

A:

Q: 2x+11 1 Consider f dx = x2+x-6 x-2 x+3 then evaluate S(-dx xp(* - 3 x+3

A:

Q: 2 Let s(x) = x ² − 8x + 4 and t(x) = - 2x - 4. Part A: Find s(x) + t(x). Part B: Find s(x) - t(x).

A: