For f(x) = 7x+ 7 and g(x) = x, find the following composite functions and state the domain of each. %3D (b) gof (c) fof (d) gog (a) fog

Q: Simplify the difference quotient ƒ1x + h2- ƒ1x2 / h for the follwing functions. ƒ1x2= x4

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Q: Find the simplified difference quotient for the given function    dx2 + kx + m

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Q: For the functions f(x)=6x2+16x−6 and g(x)=x+3, find (fg)(x) and (fg)(0).

A: Given functions:   fx=6x2+16x-6gx=x+3

Q: For fx) = x+6, find each of the following a. (-1) e. (for xs97) (5) a. f-1)-5 b.r (5)-0

A: Given query is to find the indicated valen do the function.

Q: Do I just multiply the G times the F then multiply by 3? I'm confused

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Q: If f(x) = 9x + 2, find f'(7). %3D

A: We are given  f(x) = 9x + 2

Q: If f(x) = 5 x² – 3x + 8, find f(0 ).

A:

Q: For g(x) = 6(9-x)+10, find g(2).

A: Given is g(x)= 6(9-x)+10 We find the value of g(2)

Q: For the piecewise function, find the values h(-6), h( - 3), h(1), and h(3). - 3x- 16, for x< -5 h(x)…

A: Given that a function h(x) and we find value if h(-6), h(-3),h(1),and h(3). We find value of h(x) at…

Q: Graph the function. -3x for x<0 r (x) = %3D 3/x for x20

A: here we have to plot the graph of the given function r(x).

Q: For f(x) = 7x and g(x)=x+4, find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(2); d.…

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Q: For  f(x) = x2 + 8x + 7,  evaluate  f(x + 2) − f(x).  Simplify

A: Given, f(x) = x2 + 8x + 7 f(x + 2) − f(x). =?

Q: For the functions f(x)=3x2−3 and g(x)=2x3+2, find (f∘g)(0) and (g∘f)(0).

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Q: If f(x) = 7x° – 5e², find: f'(x) = f'(4) = f'"(æ) = f''(4) =

A: Topic- Differentiation

Q: For f(x) = 4x - 5 and g(x) = 2x - 5, find the following functions. a. (fo g)(x): b. (g o f)(x); e.…

A: Given : f(x)=4x-5 , g(x)=2x2-5 we have to write the followings (1) (f∘g)(x)(2) (g∘f)(x)(3)…

Q: Sarai was given the function, f(x)=x² - 2x +8. For what x value(s) would f(x)= 20?

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Q: If f(x) = 15(2x ), find f(2.3) (to the nearest hundredth)

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Q: For the function f(x) = 4x3, find f'(2). %3D

A: f(x)=4x13=yFor inverse, interchange x and y and solve for y

Q: Given f(x) = 7x – 6 and g(x) = 8 + x, find the following:

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Q: If f(x) = 8e* – 8x* + 12, find f'(x). %3D

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Q: For f(x) = 4x + 3x2 f (21)– f (x2) x - 1, the range of values is x1 - x2

A: given  f(x)=4x3+3x2-x-1range of f(x1)-f(x2)x1-x2 is range of slope of f(x) the slope of f(x) will be…

Q: For f(x) = 4x and g(x) = x°, find the following.

A: Given f(x)=4x and g(x)=x6

Q: If f(x) = x2 + 3x + 5, evaluate : f(x + 3)

A: Consider the following function: fx=x2+3x+5 Substitute x=x+3 in the above function:…

Q: Is y=1/4 x05 a power function? And why

A: We have to check

Q: Find the equative of the fll wing functions f(X) =(X+4sinx) (l=7cosx)

A: We have to find the equative of the function  f(x) = (x + 4sinx) (1 - 7cosx) So ,

Q: If f(x) = 3x – 3e", find: f'(x) = f'(3) = %3D

A:

Q: For f(x)=2x-4 and g(x)=x2-3, How would you find the following functions?  a. (fog)(x) b. (gof)(x) c.…

A: a) Find (fog)(x),

Q: For the function f(x) = x2 /3 minus x2 - 24x + 19 (d) what is the range of values of the function…

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Q: For f(x) = x + 12x, find (a) f(x + h) and (b)

A: f(x) = x2 + 12x (a) f(x + h) means that wherever the variable x is we plug (x + h) in the function…

Q: Find the function ƒ with the following properties. ƒ'(x) = 3x2 - 1; ƒ(0) = 10

A: Given, f'x=3x2-1f0=10

Q: For f(x) = 8x and g(x) = x^4, find the following a) (f+g)(x) b) (f-g)(x) c) (f x g)(x) d)…

A: We have to find

Q: For the given functions f(x) = − 9x², g(x) (1) (fog)(x) = (2) (gof)(x) = (3) (ƒ ○ ƒ)(x) = (4)…

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Q: If f(x) = 3x – 4 and 9(x) = x°, what is the value of f(g(2))?

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Q: If f(x)=4x−8 and g(x)=x^2−5g , what is (f+g)(x) ?

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Q: 2a) f(x) = 4* Make a table of values:

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

Q: For the following exercises, find - for each function. 228. y = (3x² + 3x – 1)*

A: Differentiation with respect to x,

Q: For f(x)=3-x and g(x) = 3x +x+4, find the following functions (fog)(x); b. (gof)(x); c. (fog)(3); d.…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: For f(x) = 6x and g(x)=x+8, find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(2); d.…

A: Solution ) f(x) = 6x , g(x) = x + 8  a) (f o g) ( x ) = f ( g(x) ) = f( x + 8 )  = 6 ( x + 8 )  = 6x…

Q: For  f(x) = square root 7x  and  g(x) = x2,  find the following. (a)    (f + g)(x) (b)    (f −…

A: Part A- Given : Given functions are fx=7x , gx=x2 Calculation: f+gx=fx+gx⇒(f+g)(x)=7x+x2 Answer:…

Q: Given f(x) = 5x² – x + 2, find the following. -

A: According to the problem, we have

Q: For functions f (x) = x² – 5x – 24 and g (x) = x + 3, ) (=) b. (-3). find a.

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Q: Find f'(x) and f"(x) for f(x)=(5x+7)“ 6.

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Q: Find f(6) given f(x)=7x-5

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Q: For f(x) = 4x and g(x) = x°, find the following. (a) (f + g)(x) (b) (f – g)(x) | (c) (x)(6 · 4)

A:

Q: For the functions f(x)=−5x3−4x2+8x and g(x)=−4x2+8, find (f−g)(x) and (f−g)(−2)

A: Given, fx=-5x3-4x2+8xgx=-4x2+8

Q: If f(x)=25x+21,find f'(4)

A:

Q: For f(x) = x² + 6x + 6, find f(2), f'(2), and f(3) – f(2). a. f(2) = |3| b. f'(2) c. f(3) – f(2) :

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Q: For f(x)=1-x and g(x)=2x2+x+3, how would you find the following functions?  a. (fog)(x) b. (gof)(x)…

A: Given functions are

Q: A 300-room hotel collects $75 per occupied room and does not collect any money for vacant rooms.…

A: Given Data: The total number of rooms in the hotel is: T=300 rooms The amount collected from the…