You have given a function A : RR with the following properties (z € R, n e N): A(n) = 0 , X(x+1) = (z), A(n+;) = 1 Find two functions p, q : R +R with q(x) # 0 for allz such that A(r) = q(x)(p(x)+ 1).

Q: The function f is defined by f(x) = 2x +1. Find f(5x). f(5x) = 0

A: We can find f(5x) as below.

Q: Find the requested function and state the domain. 6 (g o f)(x) for f(x) = and g(x) = 2-x 6

A: Given : fx = 6x6gx = 2-x

Q: Let f(x) = 3x + 4 and g(x) = -2x – 3. What is (f o g)(x)?

A: We have to solve

Q: Let f(x)=9x+8‾‾‾‾‾‾√f(x)=9x+8 and g(x)=x+9g(x)=x+9 be functions from ℝR to ℝR. Find the following.…

A: We will find out the required values.

Q: Evaluate the indicated function for f(x) = x2 + 1 and g(x) (f - 9)(2t) = x - 5. (f – g)(2t) = 41² –…

A: Here, First, evaluate the value of f(2t). Now, evaluate the value of g(2t).

Q: x-3 d) f (x) = Vx-4

A:

Q: For which a is each of the following functions defined 2x – 3 (a) f(x) = (b) 1 g(x) = 3x + 2 4.x + 5

A:

Q: 4x +3 Q10: Let f(x)= x+2 Show that f(x) is 1-1 function. Find D,, R,, and f(x).

A:

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: Evaluate the function for f(x) = x + 3 and g(x) = x2 − 2. (fg)(9)=

A: Given that f(x)=x+3 And g(x)=x2-2 We will find (fg)(9)

Q: If the function f: R→R be defined by f(x)=x² +5x+9,Find f'(8) = and f'(9).

A: The given function is fx=x2+5x+9

Q: snip

A: Given: fx=1x and fgx=x+1x2-x

Q: The fixed point of the function f(x) = 9* – (2) 3× + x - 3 is: Select one: а. 1 b. 3 С. 2 d. 4

A:

Q: Define f (x) = 4+x – x² and g(x) = 5x 3. - Find the value of (go f)(3). o f)(3).

A:

Q: 19. Evaluate the difference quoatient: f(x+h)-f(x) h as much as possible: a.) f(x) = 2x + 7, b.)…

A:

Q: On which of the following intervals is f(x) = continuous? Vx-2

A:

Q: K 3. f(x) = = mt f(x) find a. 2 = (x) اسم - - () اسمر - ( ) اسمر 2 = = = (x) اسمر b. .. d.

A:

Q: Use the functions f(x) = 2x² a. (fᵒg)(3) b. (hj)(12) c. (gᵒh)(x) d. (hᵒg)(x) e. (gᵒf)(x) to…

A: "As per policy the first three subparts have been solved, please repost the question mentioning the…

Q: Let f(x) = x + 3 if x ≥ 5, 8 if x < 5. Find f(12) - f(-12).

A:

Q: Please determine the domain of the function

A:

Q: If f (x) =ax³+ bx² , determine a & b so that the graph of f will have a point of inflection at (1,2)

A:

Q: If f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and  f(4). Is f(x+y) =f(x) +f(y) for all…

A:

Q: If they exist, find the x-intercept(s) of the function f(x)= 3 0(0,00 O O (1,0) O(-11,0), (110)…

A: The function is given by fx = x2-115-x To determine: the x-intercepts.

Q: Let f : R → R, where f(n) = 5 . Answer the following questions. 7x²+3*

A: