10 6) Let g(x) =+ 3 %3D x2 Is g(x) E [3,4], Vx E [3,4]?, using fixed point theorems what can you conclude?

Q: IT X) IS defined as foilows, ina (a) i( – 2), (D) (U), and (C) I(2). x? if x 0 (Simplify your…

A: Since the given function is a piecewise function therefore we need to take care of the branch of the…

Q: 3) Show that (f o g)(x) = (go f)(x) = x. f (x) = 4 – 3x g(x) = (4 – x)

A:

Q: Find f(x) and g(x) such that h(x) = (f o g)(x) and g(x) = 3- 5x. h(x) = (3 – 5x)³ – 2(3 – 5x)² + 5(3…

A:

Q: If f(x)= x2 – 2x-3 & g(X) = |X| thenfind: a) (fog)x) & b) (gof)x)

A: See the attachment

Q: S[y] given by y = cosh æ + B sinhx, 0 0,

A:

Q: E. Find (f • g)(x), (g• f)(x) and (f • g)(2) 1. f(x) = 2x g(x) = x +5

A: The functions are given by fx = 2xgx = x+5 To evaluate: The expressions of f∘gx , g∘fx and the value…

Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 2x + 1. 3 h(x) = /2x+1 f(x) =|

A: topic - functions

Q: Given: f(x) = x2 + 1 1) Find... f(2) f(0) = %3D f(-3) 2) Find... fly) = f(x2) = f(x + 1) = %3D 3)…

A: Answer and explanation is given below..

Q: 9) g(x) = x – 3 f(x) = -2x + 2 Find g(f(x))

A:

Q: Given f(x) = and g(x) = The domain of (fog)(x) is: %3D A) (-o, 00)-(-2, 2). B) (-0o, 00) -{-2, 1).…

A:

Q: Find f(x) and g(x) such that h(x) = (fo g)(x). 8 h(x) = - x-2 Suppose that g(x) = x- 2. f(x) =

A: It is an important part of statistics. It is widely used.

Q: v(x) = {2(x − r) if (x − r ) ≥ 8 (3(x − r) if (x −r) < 0 a) Represent the value function…

A:

Q: ) 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:

Q: Q.2 If f(x) = 2*, Then show that a) f(x+3) – f(x – 1) =f(x) S(x+3) S(x-1) = f(4) b) %3D

A:

Q: (153) (b) Let g(x) = 2***. Find gs"(x). II

A:

Q: How would you find g (A) if a) g (x) = 1. b) g (x) = (x + 1)2 . c) g (x) =⌊ (2x + 4)/3⌋ Where A =…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Q3) A) If you have three functions: f(x) = x2 – x %3D | g(x) = 3x – 1 w(x) = x2 – 2 So, find gof (x)…

A:

Q: Determine the formula for the the function f below. p(x) 1 1 - 1 12 1 3 72 1 4 432 2.

A: when x=1 p(x)=12=3·16 when x=2 p(x)=112=3136=3162 when x=3 p(x)=172=31216=3163 when x=4…

Q: 3g(x)) [ If foodx = 2 and √ gondx = -1, then what is "'s (for) - 3g00) dx-2 godx? Find a point CE…

A:

Q: Q3) A) If you have three functions: f(x) = x? - x g(x) = 3x- 1 w(x) = x2 – 2 So, find gof (x) and…

A:

Q: Pls helpp ASAP

A: To find  h(x)=f(x)*g(x)

Q: 4. Given f (x) = x3 – x and g(x) = V2x, determine a) (f + g)(8) b)

A: Given  f(x) = x3 - x g(x) = √(2x) To find  a) (f + g) (8) b) (f/g) (2)

Q: 2. State the value of x for each, given g(x) = -3x + 4 and f(x) = /x – 5 a)g(x) = 10 b)g(x) = -2…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Q3) If ƒ(x) = vx +1 and g(x) = →, find (1) (f • g)(x) %3D (2) Domain and Range for all f(x), g(x)…

A:

Q: Q1) A) Whether the function is even, odd, or neither. 1) h(x)= 2x +1 2) k(x) = x³ +x B) Find the…

A: See the attachment

Q: t0) = {Ax2 -1. [5x + 4, for x < 0, 4x2 - 1, for x20 10+

A: NOTE: Refresh your page if you can't see any equations. . the first equation is  to graph the line…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.