Let f(x)=x2+x and g(x)=x+1. Find a rules for (fog)(x) and (gof)(x) and give the domain of each composite function. (fog (x) = (gof)(x)= The domain of (fog)(x) is : Example: x-3; x-5 The domain of (gof)(x) is : Example: x-3; x35

Q: the function g is defined as g(x)=2x^2-4x  find g(x-6)

A: Given function is,

Q: the function g is defined by g(x)=3x2-2  g(2n)=

A:

Q: function g is defined by g (x)=x2-7. Find g(3y)=

A: Here g(x)=x2-7 .................(1) we have to find;  g(3y)=?

Q: Let f(x)=√6−xf(x)=6-x and g(x)=x2−xg(x)=x2-x. Then the domain of f∘gf∘g is equal to

A: We have the functions f(x)=6−x and g(x)=x2−x

Q: Let f(x) = x³ + 2, g(x) = x- - 3, and h(x) = 8x + 3. Find the rule for the function. %3D f-g

A: Given function is : fx=x3+2gx=x2-3hx=8x+3  To find the value of fx-gxhx

Q: The domain of the function f (x) = x/x - 2 consists of all x ∙ 2.

A: We have to find domain of the function fx=xx-2 We can see this function is defined for all real…

Q: Let f(x) = 2x + 3/3x-2 , g(x) = 4x/3x − 2, h(x) = √3x − 12, F(x) = 3x + 4, G(x) = 2x − 3 a) Find the…

A: Solve question

Q: Let g(x) = 4x -6. Find g %3D -

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Q: The function f(x) = can be written as g(h(x)). One 4-x2 possibility for g(x) and h(x) is: g(x) = Ar…

A: we have to find out composition function

Q: Let f(x) = x -9, g(x) = /x + 9, and h(x) = 6x² - 9. Find the rule for the function. %3! gh f

A: Since, f(x)=x-9, g(x)=x+9 and h(x)=6x3-9.Our Aim is to find the rule for the function ghg-f.

Q: Let f(x) = 4x2 - 3x and g(x) = x2 - x + 2. Find (f + g)(x), (f – g)(x), (fg)(x), and (x). Give the…

A: The given function is f(x)=4x2-3x, g(x)=x2-x+2. The domain of a function is the set of its possible…

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = 5 - x,    g(x) = x2 - 3x

A: Given, f(x)=5-x  and g(x)=x2-3x To find  f+g, f-g, fg, f/g.

Q: Let f(x) = 2x² - 4x and g(x) = -3x - 1. Find f[g(-4)]. f[g(-4)] =

A:

Q: Let g(x) = -x2 + 4x - 5, Find g(3)

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Q: LET G(X)=-2X+5. FIND G(X+3)

A: Given :       G(X) = -2X + 5 . To find :     Value of G(X+3).

Q: 6. Let g(x) Find the domain of g(x). x-4' 2x2-3x+7 7. Let f(x) = Find f(3),

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Q: Let f(x) = 2x – 5 and g(x) = 3 - x. Find all values of x for which f(x) 2 3 or g(x) < 0.

A: Given: fx=2x-5gx=3-x To Find:  All values of x for which fx≥3 or gx&lt;0

Q: Find the domain of the function : g(x) =1/(x2 + 1) - 1/(x2 - 1).

A: The domain of  rational function is the set of all real numbers except those for which the…

Q: Let f(x) = x - x- 4 and g(x) = 2x - 6. Find (g-f(x). %3D (g-D(x) = - x² +3x - 2 (g -(x) = x2 - 3x –…

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Q: Let f(x) = - 6x + 3 and g(x)=x² + 8. %3D Find f(-5)– g(- 5). f(-5)-g(-5)= || %3D

A: Here, the given functions are: f(x)=-6x+3,g(x)=x2+8...(1) To find the value of f(-5)-g(-5)

Q: The graph of function f(x) = x³ – 6x² + 9x + 1 is - concave upward on O (-∞0, 2) O (-∞, ∞0) O (2,…

A: The given function is: f(x)=x3-6x2+9x+1

Q: The domain of the function f(x) 3x-12 is V2x-4 a) {x/x > 4 and x # 2} b) {x/x 2 and x # 4} c) {x/x >…

A: Solution:-

Q: Let g(x) = -x² – 6 and find the value. g(1)

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Q: Find a rule for g(x) if: g(x)=4-5x

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Q: 2x4 -Vx+x 7xcsc² x+1 Find all functions g such that g'(x)=4sinx+

A: g'x=4sinx+2x4-x+xx-7xcsc2x+1x

Q: The function g is defined as g (x) = 2x-4x. Find g (x-6).

A: Given: gx=2x2-4x we know that for gx-6 we put x-6 in place of x in gx

Q: Let f(x) = x3 + 3, g(x) = x2 - 3, and h(x) = 3x + 3. Find the rule for the function. fgh

A: Use the rule of composite functions.

Q: The function g is defined as g (x) =-2x+6x. Find g (x-4).

A: Given: g(x)=-2x2+6x The objective is to find g(x-4)

Q: Find the values of A, so that the function F (x) = {1-3x                         x 4    is…

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Q: let f(x) = x-5 / x2+x -12 and g(x)= x+3 / 3x+12 find an equation of the funtion f-g

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Q: Let f(x) = - 9x + 20 and g(x) = x² + 8. Find f(- 5) • g(- 5). f(- 5) • g(- 5) =

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Q: Let f(x) = x³ -5x² +x-7. The function g(x)=... such that (f o g)(x) = 27x³ + 90x²+78x-2. %3D

A:

Q: Let f(x) =(10x + 15) and g(x) = - (8 – 12x). Find all - 9 values of x for which g(x) = f(x).

A: Since f(x)=25(10x+15) and g(x)=14(8-12x)Our Aim is to find the value of x for which g(x)≤f(x).

Q: Let g(x) = -x2 + 4x - 5, Find g(2/r)

A: We have to find g2r where function is given as: gx=-x2+4x-5 In this case we just have to replace the…

Q: Let f(x) = x3 + 2, g(x) = x2 - 3, and h(x) = 4x + 10. Find the rule for the function. f-g divided…

A:

Q: Let f(x)=-4x^3-8x^2-x+2 , g(x)=5x^3-3x^2-7x-4 Find (f-g)(x) Find (f-g)(-1)

A: f(x)=-4x3-8x2-x+2, g(x)=5x3-3x2-7x-4To find: (f-g)(x), (f-g)(-1)

Q: Let f(x)=3x and g(x) = x2+2. Find the function gof (gof) (x)=

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Q: Let f(x)=3x2+5 and g(x)=-4x+4 find the following. (f-g)(-3)

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Q: Let f(x) = x + 6, g(x) = x2 - 10, and h(x) = 3x + 5. Find the rule for the function. %3! %3D f-g

A: given: fx=x3+6g(x)=x2-10h(x)=3x+5 we have to find a rule for the function f-g

Q: If g(x) = √100 - x^2 , where - 10 ≤ x ≤ 0, find A) g^-1 (x) B) the domain and range of g^-1

A: g(x)=100-x2y=100-x2x=100-y2x2=100-y2y2=100-x2y=-100-x2 [here 0≤x≤10]g-1(x)=-100-x2 , 0≤x≤10

Q: Find f+ g, f- g, fg, and f/g and their domains. f(x) = 3 - x2, g(x) = x2 - 4

A: fx=3-x2, gx=x2-41 f+gx=fx+gx2 f-gx=fx-gx3fgx=fx.gx4fgx=fxgx

Q: Find the rules for (fog)(x) and (gof)(x) and give the domain of each composite function.…

A: To find the rules for (fog)(x) and (gof)(x) and give the domain of each composite function

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = 3 - x2,    g(x) = x2 - 4

A: Given f(x) = 3 - x2,    g(x) = x2 - 4 To find  f + g, f - g, fg, and f/g and their domains.

Q: Let g(x) = -x2 + 4x - 5, Find all values of x such that g(x) = -12.

A: Given, gx=-x2+4x-5

Q: Let f(x) = x² + 2, g(x) = x-- 3, and h(x) = 8x + 3. Find the rule for the function. %3! %3D %3D f-g

A: Consider the given function as, fx=x3+2, gx=x2-3 and hx=8x+3

Q: Find a rule for g-(x) if: g(x)=4x

A:

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = x2 + x,       g(x) = x2

A: Given functions,  f(x) = x2 + x,       g(x) = x2 To find f + g, f - g, fg, and f/g and their…

Q: Find the rules for (fog)(x) and (gof)(x) and give the domain of each composite function. f(x)=x*.…

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Q: Let h(x) = f(x)g(x). If f(x) = 3x² + 2x 3 and g(æ) = ² + 4x + 2, what is h' (-2)? Do not include "h'…

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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.