Given these functions f (x) = x+5 and g (x) = 4x %3D Evaluate: flg(3) Does fig(3)-g(f(3) ? Evaluate:g(f(3))

Q: f(3) = 2, f(5) = 4, g(2)=5, and g(4) =3. What is the value of g(f(5))?

A: We have to find the value of gf5 where it is given that: f3=2, f5=4, g2=5, g4=3. Here, f5=4…

Q: f(x) = 4x, g(x) = x4 (a) f ∘ g (b) g ∘ f (c) g ∘…

A: function composition (f o g)(x) = f[g(x)]

Q: show that 1f ∘ g2 (x) = 1g ∘ f2 (x) = x.

A: Given: fx=1x, gx=1x. To find: f o gx=g o fx=x Solution: Finding f o gx. f o gx=fgx=f1x=11x=x

Q: f(x)=(x-5) (x+5) g(x) = -2x+9

A: Domain of a function f (x) is the set of all possible values of x for which f is defined.

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: Let f(x) = x + 9x and g(x) = 5-x. () Find (x) and (2).

A:

Q: 2 5 Let f (x) and g(x) = x+2° X-3

A:

Q: un 5 (2) = 2² - 82 and 9(2) = {-2₁" 22-5 x-1, x Evaluate(f/g) (7)

A:

Q: (g(x))=6(x6+9)3 g(x)=x6+9 what is f(g(x))

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: Evaluate  (f ∘ g)(5). f(x) = 2x + 1 g(x) = x + 9 (f ∘ g)(5) =

A: f(x) = 2x+1 &, g(x) = x+9 So, g(5) = 5+9 = 14

Q: you

A: Topic:- function

Q: Given the following two functions, is f(x) - g(x) = g(x)-f(x) true for all functions? f(x)=x²-9,…

A:

Q: Let f(x) = 3x + 8 and g(x) = -7x + 3. (a) Find f(g(x)). (b) Find g(f(x)).

A: The given function are

Q: Use Table 1 to find: (a) f(g(1)) (b) (d) g(ƒ(4)) (e) Table 1 1 f(x) 5 g(x) 6 X g(ƒ(1)) f(g(6)) 2 3 4…

A: Given

Q: Find the following. f(x) = x², g(x) = 3x - 7 X = 2 (a) (f+g)(x) = x² + 3x - 7 2 (b) (f-…

A:

Q: Evaluate (fo g)(x) or f[g(x)] f(r) = 4x² + x + - 3 g(x) = 5x 5 (f o g)(x) = f[g(x) = %3D

A: Evaluate (f•g)(x) or f[g(x)] We apply going to apply here method of composite functions

Q: Let f(x)=x2−2xf(x)=x2−2x and g(x)=3−x2g(x)=3−x2.   (f+g)(7)=(f+g)(7)=  help (numbers)…

A: The functions are f(x)=x2-2x   &    g(x)=3-x2

Q: x + 7 If f(æ) = 5x – 7 and g(æ) 5 (a) f(g(x) : (b) g(f(x)) =

A: Solution

Q: Let f(x) = 3x – 6 and g(x) = x² – 3æ + 7. Then (f o g)(x) = (g o f)(x) =

A:

Q: f(x) = x2 + x + 3  and  g(x) = x − 4,  find the following. (a)     f + g       (b)     f − g

A: f(x) = x2+x+3   and  g(x) = x-4   a) f+g = x2+x+3+x-4       = x2+2x-1 b) f-g = x2+x+3-(x-4) = x2+7

Q: G(f(2))

A:

Q: Evaluate h(10), where h = (g o f). 1 f(x) gi g(x) = x² + 9 x - 9 h(10) = |(

A: