Given the following functions, answer the questions that follow: f(x) g(x) = x + 3 (x - 4)(x - 1) %3D 1. Determine h(x) which represents the simplified expression of (fg)(x). 2. Determine the domain and range of this simplified expression. 3. Sketch the functions of f(x), g(x) and h(x) on the same grid.

Q: is this a function and why y = x2 + 3

A:

Q: Put the following equation below in function notation using a as the independent variable. -6n + 8a…

A: First we simplify the given equation, and then we write it as function notation.

Q: Find the domain of the following: f(x)=3/x-7

A: Function=3/(x-7)The function is defined at all points other than x=7.

Q: 12. Solve for x if f(x)=16

A: Given f(x)=-2x+4

Q: Find f(3) for the given function. f(x) 3D (x- 2)(x- 4)(x+5) Type your numeric answer and submit

A: f(x)=(x-2)(x-4)(x+5)Substitute x=3 in f(x)

Q: For f(x) = 3x-9 and g(x) = find the following function 3 %3D a. (fo g)(x); b. (g o f)(x); c. (f o…

A: f(x) = 3x-9 9(x) = x+ 93 a) (f0g) (x) = f (g(x)  = f x+93 = = 3x+93-9= x+9 -9 =x(fog) (x) =x…

Q: find the domain of the function algebraically 3. y= 3x-1/x2 -2x-3

A: Given function, y=3x-1x2-2x-3We know that The domain of a function is the set of input or argument…

Q: х + 40, where 4 b. The temperature (in degrees Fahrenheit) can be approximated by the function c(x)…

A: For a function, y=f(x) , x is the independent variable and y is the dependent variable . Consider…

Q: Use the given functions to calculate each operation and simplify.   f(x)=1/x-9    g(x)=-7x-4…

A:

Q: For f(x) = 8x and g(x) = x+4, find the following functions. a. (fo g)(x); b. (g o f)(x); c. (f o…

A:

Q: 5 and g(X) = 3X the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo g)(- 1); d. (go f)(- 1)

A: Given: fx=x-5 gx=3x2-1 a) f∘gx is given as, f∘gx=fgx               =f3x2-1               =3x2-1-5…

Q: Given the functions f(x) =x-8 and g(x) =-5-x, determine an equation for the combined function h(x) =…

A: We will find the composite function using the definition of the given functions and keeping in mind…

Q: The following represents which type of function: H(x) = 4x³ 4х3

A: To determine the type of function.

Q: The sales of Spicheesy Nachos at the local grocery store are currently 3,200 bags per month. Since…

A: (a) It is given that the initial sales of Spicheesy Nachos is 3,200 bags per month. After…

Q: For f(x) = 3-x and g(x)= 2x +X + 9, find the following functions. a. (fo g)(x); b. (g o f)(x); c.…

A:

Q: 3. Find and simplify a. f(x)=3x² +5x b. f(x)=2x-x² K f(a+h)-f(a) h for each of the following…

A: (a) f(x)=