Let f and g be the functions from the set of integers to the set of integers defined by f (x) = 2x + 3 and g(x) = 3x + 2. What is the composition of f and g? What is the composition of g and f ?

Q: Let f(x) = -x4 - x³ + x2 + x – 4 and find the value. f(-1)

A:

Q: Let f(x) = x2 - x - 4 and g(x) = 2x - 6, find g(f(-1)).

A: We have given; f(x) = x2 - x - 4 and g(x) = 2x - 6

Q: 5) Evaluate the function: f(x+ Ax)-f(x) Ax for f(x) = 3x²

A: I have stated the used formula in the solution

Q: Find f such that f ' (x) = 4x -5, f(5) = 0

A:

Q: Let f be the function with domain all real numbers x and defined by the formula f (x) = 3x3 - 4x2 -…

A: We have given fx=3x3-4x2-3x+7

Q: Let the function f be defined by -5x +4 for x 2 f (x) = { x2 +3 %3D - 1 Evaluate f(-1) + f(3)

A: fx=-5x+4for x<-1x2+3      for -1≤x≤21x≥2

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) = x2 - x - 4 and g(x) = 2x - 6, Find (f/g)(x) and its domain.

A: Let f(x) = x2 - x - 4  and g(x) = 2 x - 6 Formula used: (f/g)(x) = f(x) / g(x)

Q: Let f(x) = x2 - x - 4 and g(x) = 2x - 6.Find (g - f)(x).

A: Given

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: Find the domain of the function f(x) = In(4 - x2).

A:

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: Let f(x) = x2 - x - 4 and g(x) = 2x - 6.Find g(f(-1)).

A: Given:

Q: 4. Select all the true statements about the end behavior of the function f(x) = -x*-5x .4 + 5x +3.…

A: Given :

Q: Let f(x) = V7 – x + 8. Determine f-(x) and the the domain of f -(x). f(x) = Domain of f-(æ) ||

A: Let us take y = f(x). So,               y=7-x+8Replace y by x.⇒x=7-y+8⇒y=-x2+16x-57 Thus, we get…

Q: Let f (x) = [1&gt;(x + 1)] - x2. Evaluate f (a + 1).

A:

Q: Let f (x) = x2 - 2x, g(x) = 3x - 1, and h(x) = 1x. Find the functions. f (x) + g(x)

A: Since, we have been given that:-f(x)=x2-2x -(i)g(x)=3x-1 -(ii)and h(x)=x -(iii)Our Aim is to find…

Q: Let the function f be defined by 3x - 3, for a 3 Evaluate f(-1) + f(4)

A:

Q: Let f (x) = x2 - 2. Evaluate f (a - 2).

A: Given that the function  f (x) = x2 - 2 To Evaluate f (a - 2).

Q: Consider the following. f(x) = 2x/4 – x², [-2, 2] (a) Use a computer algebra system to differentiate…

A:

Q: Explain why both f (x) = x/ (1- x4) and g(x) = p are algebraic g(x) = -x / √(1-x4) functions.

A: f(x)=x1-x4 and g(x)=-x1-x4

Q: 6- Do a complete analysis to sketch the following function. F(x)=2x-x²/x²-2x+1

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Q: Let f(x) f-¹(-2) = x + 3 x + 6

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Q: Determine algebraically whether f(x) = x3 + x2 - x is even, odd, or neither.

A: Consider a function fx A function is said to be an odd function if f-x=-fx A function is said to be…

Q: Find the domain of the function. h(x) = In(x2 - 4)

A: To find the domain of: h(x)=ln(x2-4) Solution: We know, the logarithmic function is defined for the…

Q: Draw the graph of f(x) = 2x + 1 over the domain: 1. {x|x ≤ 2} 2. {x|x ≥ −1} 3. {x| − 3 ≤ x ≤ 1}

A: To draw the graph of f(x) = 2x + 1 over the domain: 1. x | x ≤ 2 2. x | x ≥ -1 3. x | -3 ≤ x ≤…

Q: Let g be a piecewise-defined function given by: 7x + Vx² + 5 2х- 4 if x 3

A: Find the values at which the peicewise function g(x) is undefined.

Q: 3. Write the function F (x) = x3+6 as a composition of three or more non- x3 identity functions.

A: The given function is, Fx=x3+6x3-9

Q: Determine algebraically whether f(x) = (- x)/(x2 + 9) is even, odd, or neither.

A: we have to determine algebraically whether f(x) = (- x)/(x2 + 9) is even, odd, or neither.

Q: Consider the function f(x) = 4- x2 5, 7+4x, x 2 %3D Evaluate f(2) - f(1) f(0) + f(-2)

A:

Q: Let f1(x) and f2(x) be functions from the set of real numbers to the set of positive real numbers.…

A: Big-O Notation:Definition: Let f and g be functions from the set of integers or the set of real…

Q: Let f(x) = 2a° In(æ) – a 3 f'(x) =

A: The given function f(x)=2x6ln(x)-53x3

Q: Let f(x) = x2 - 5 and g(x) = 3x + 2. Find (f-g)(5).

A: As their are two different question, we have answered first question only and if you want solution…

Q: Let f(x) = 2x2 - x - 1 and g(x) = 4x - 1, Find (f ∘ g)(x).

A: fx=2x2-x-1  &amp;  gx=4x-1

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: Identify and sketch the domain of the function In (4-x² - y²)-√√ √(x−1)² + y² −1 f(x,y) =

A:

Q: Let f(x) = x + 5 and let g(x) = x^2 + 5x. Specify the domain of f(x)/g(x).

A:

Q: Let f(x) = x2 - x - 4 and g(x) = 2x - 6, Find Find (g - f)(x).

A: the function given to us is f(x) = x2 - x - 4 and g(x) = 2x - 6  we have to find the value of (g -…

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: The range of f(x)= -/2-x² is %3D [-/2,0] O [0,/2] [-2,2] [2, 0) [0,2]

A:

Q: The domain and the rang of the - * function In (x - 2) are

A: the log function is not defined for zero and negative numbers so the value of x-1 should be greater…

Q: Assume that g is a twice-differentiable function (that is, g' and g" exist) and f(x) = x g(x²).…

A: The given function fx=x.gx2 Differentiate with respect to x using product rule…

Q: Let f(x)= -4x+3 and g(x)=x^2 -2 Find (g-f)(x)=

A:

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 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 f(x) = x + 10 and g(x) = x² – 9. Find the domain of (-) (x)

A: Solution of the problem as follows

Q: Let f(x) = x2 - x - 4 and g(x) = 2x - 6, find (g ∘ f)(x).

A: Given: fx=x2-x-4, gx=2x-6 For finding gofx, we put x=fx in in given gx function

Q: Let the function f be defined by -5x + 4 for æ 2 Evaluate f(-1)+ f(3)

A: The given function is,  fx=-5x+4for x&lt;-1x2+3for -1≤x≤21for x≥2