1. 3 and g(x) x + 2 2x Let f(x): %3D %3D x- 5 a) Find the forumla for (g o f)(x). Simplify your formula completely. b) What is the domain of (g of)(x)?

Q: Let f(x) = 6x + 12 and g(x) = x² – 4. - Find the domain of the following fur (a) (g - f)(x) domain…

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Q: Define f (x) = 4+ x – x² and g(x) = 5x – 3. Define f(x) - - (f o g)(x) = (go f)(x). True False

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Q: The function f: RR defined by f(x) = 5x3 + 3x2-x + 7 is O(x). True False

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

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Q: 1) Find the natural domain for the following: x +6 f(x) = 8- Vx2 - 25

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Q: Does f=g?

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Q: - For the functions f(x) = x + 2 and g(x) = x - 3, which expression has the greatest value? a)…

A: We have given:Find the composite function :Find the composite function :

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

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Q: 2 5 Let f (x) and g(x) = x+2° X-3

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Q: Let f(x) = 2x – 3x³ and g(x) = 3/x a. Find (f*g)(1) b. Find (g(f(-1))

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

Q: x² If g(x) 4 simplify V1 + [g(x)]².

A: Given: gx=x24-1x2 To Find:  To simplify 1+gx2.

Q: 3) Do the following operations of functions. a) f(x) = x² + 3x , g(x)= 8x +9 find (f+g)(4) = ? b)…

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Q: 4 Find the domain of f(x) x + 3

A: Given:  fx=4x+3 To Find: Domain of the given function fx

Q: Determine the piecewise representation of f(x) below: x) = [9x + 36| Equation A if x2 a f(x) =…

A: we have to find

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: Given f(x) = 3x, and g(x) = Vx² – 5 a) (g + f)(x) b) (f – g)(4)

A: Given: f(x)=3x and g(x)=x2-5g*f(x)=? We can solve this as follows:

Q: Example 1: Let f (x) 2r and a =2. Find the difference quotient of f(x) and f'(a). %3D

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Q: 2x Let f(x) x- 4 (a) Find f(2) and f(a + 4). (b) Find the domain of f.

A: We have to find: (a) f(2) and fa+4 (b) Domain of f. Where function is given as: fx=2xx-4 Solving…

Q: 2² – 7x + 12 Explain why f(x) = x – 4 is not the identical function of g(x) :

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Q: Let f(x)=x² -x+2 and g(x)=2x – 1, find each of the following: a. (fg)(x) and identify its domain b.…

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

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Q: Find f. g, g. f, and g . g. f(x) = x2, g(x) = x - 1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the function g such that fog = In (4x³ +9) if f(x)= Inx g(x) = ...

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Q: Evaluate the function for f(x) = x + 3 and g(x) = x2 – 2. (f + g)(-8) (f + g)(-8) = Need Help? Read…

A: f(x) = x+3  g(x) = x2 - 2