57. If f(x) = (A) (0,00) fen²x + (n (ex) (n² (ex) dx; f(1) = 0 and g(x) = 1 -f(x). Then the domain of g(x) is - X (B) (0.1) (1, 0) (0) (0) (1) (1,0)

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

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Q: |X\, g 6 リx| = (x)

A:

Q: ) Find the domain of (i) f (x) = 1+ x? (ii) 8(2)= /4 – z?

A: given function f(x) = 1+x2

Q: -3x 26. If f(x) = {0 2x + 1 if x -1 find: (a) f(-2) (b) f(-1) (c) f(0)

A: (a) To find: The value of function f-2. Given: The function is fx=-3x       if x<-10…

Q: Given the function h (x) = -v2 – x, what is h (x)?

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: (3)f(x) = x – [x]; 0x=5 (i) x=

A: Greatest integer function:  A function that results  in the greatest integer less than or equal to…

Q: If F(x) = (x − 1) 2 + 1; Evaluate F′(−1), F′(0), F′(2)

A:

Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. f(x) = 3x +x + x-4, k= - 1…

A:

Q: If h(x) = [f (x)]2 + 1g(x), determine h(1) and h(1), given that f (1) = 1, g(1) = 4, f (1) = -1,…

A: Given: hx=fx2+gx  ……1   Also, f1=1g1=4……2   and, f'1=-1g'1=4……3

Q: f(x)=2-x/3x+4          1. f(2)  2. f(0)

A: 1) Plug x=2 to find f(2) and simplifyAnswer(1): 0

Q: 3. Let h(x) = 2x - 3 and g(x) = 5 - x   a) Find h( g(2) ) b) Find h( h(x) )

A: 3. Let h(x) = 2x - 3 and g(x) = 5 - x (a) Find h( g(2) ) (b) Find h( h(x) )

Q: f (1), where f (x) = 21 + x2

A: Given function - f(x) = x2+21         ...........(1)f-11 = ?First we need to find the inverse…

Q: f (x) = (8 − x)(x + 1)2

A: It is given that     f(x)=(8−x)(x+1)2 We have to find the zeros .

Q: If g(x) = 3x2 + 2x- 4, find g(-3). %3D

A: In this question we have to find the value of g(-3)

Q: Find h(x) and g(x) such that f(x) = (h o g)(x). f(x) = V3x +4 Suppose that g(x) = 3x+4. h(x) = %3D

A:

Q: f(x) =  x2   if x < 0 x + 3      if x ≥ 0 f(−2)  =    f(−1)  =    f(0)  =    f(1)  =    f(2)  =

A:

Q: f(x) = In (1+x³)

A:

Q: Find f(x) and g(x) such that h(x) = (f o g)(x). h(x) = (3- 9x)? Suppose that g(x) = 3 – 9x. f(x) =

A:

Q: If f(x) = /3x and g(x)= /3 , then (f.g)(x) is NONE XV3

A:

Q: 每=(x)8:57 -* - (x) = S

A:

Q: nd f.g, g. f, and g. g. f(x) = x², g(x) = x - 1 (a) f.g (b) g.f (c) 9.9

A: Given query is to find indicated composite function.