For f(x) = X+9 and g(x) =, find a. (fo g)(x); b. the domain of fog .... a. (fo g)(x) = D (Simplify your answer.) b. What is the domain of fo g? The domain is O. (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)

Q: For the functions f (x)%3= x+3 13 find the composition f °g and simplify your answer as much as…

A: Consider the given functions

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

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Q: for the given value of x. g Find (x) and state the domain. Then evaluate 2/5 4. f(x) = x2,g(x) =-3x;…

A: fx=x32,   gx=-3x25  :x=1

Q: Use f(x) = 5x – 4 and g(x) = 2 – x2 to evaluate the expression. (a) (f. A(-1) (b) (g . g)(-1)

A:

Q: Use f(x) = 5x – 3 and g(x) = 2 – x² to evaluate the expression. (a) (fo g)(-2) (b) (g o f)(-2)

A: Given Functionf(x) = 5x-3g(x) = 2 -x2we have to find (fog) (-2) & (gof) (-2)(a) (fog) (-2)

Q: Find S° g)(x) and write the domain in interval notation. e) - V2 -x 16

A: f(x) = 3/(x2-16) and g(x) = √(2-x)

Q: Given f(x)=2x and h(x)=5-x², find (f·h) (2) O-6 -8 O -10 -12

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: For f(x) = x +5 and g(x) = 5x + 4, find the following func a. (fo g)(x); b. (g o f)(x); c. (f o…

A: Given :                  f(x) = x + 5                  g(x) = 5 x + 4       A composite function…

Q: For the function f(x)=x3−3x2−9x+4, determine the intervals where f is increasing and decreasing.…

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Q: Simplify the expression 2x2 + 9x + 4 x2 + 5x + 4 2x2 – 3x + 1 x2 + 3x – 4 and give your answer in…

A: 2x2+9x+4x2+3x-4÷x2+5x+42x2-3x+1=2x2+9x+4x2+3x-4*2x2-3x+1x2+5x+4....(1) now…

Q: Suppose

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Q: 4. For the function f(x)= 7x - 5 apply the difference quotient simplify your answer. f(x+h)-f(x) h…

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Q: Use f(x) = 4x – 5 and g(x) = 2 - x² to evaluate the expression. (a) (fo g)(-2) (b) (go n(-2)

A: To find the given values

Q: If f(x) is the height, in inches, of a tomato plant that is x days old, what is the meaning of f(45)…

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Q: Given the function f(x) = -√x + √³, find f'(6). Express your 4' answer as a single fraction in…

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Q: Given f(x)=(6x+9)^4, what is f'(x) when x=19?

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Q: If g(x) = - 1 where f(3) = 4 and f'(3) = - 3, find g'(3). f(x) Express your answer as an integer, or…

A: It is given that,the function             g(x)=1f(x)         where f(3)=4, f'(3)=-3 we have to find…

Q: For the functions f(x) = - 6x + 9 and g(x) = 7x+ 9 find the following. (a) (fo g)(x) and its domain…

A: We have to find

Q: Suppose h(1) = (f(x) + VI) · g(x), f(4) = 3, g(4) = -1, and f'(4) = gʻ(4) = 5. What is h'(4)?…

A: solution:-Given:h(x)=f(x)+x·g(x)f(4)=3g(4)=-1f'(4)=g'(x)=5

Q: 15.Given the function y = 4,870.6e^-0.0462x, what is the value of x when y = 68.7?

A: We will answer the second question as we don't answer multiple questions at a time and in the first…

Q: Find the following. (Simplify your answers completely.) f(x) = 5x − 9,      g(x) = 4 − x…

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Q: Let f(x) = 10x2 + 9x + 4. For what value(s) of x is f(x) = 13? (Enter your answers as a…

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Q: If f (2) for f (x): +6 is 8, then what is f (8)?

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Q: 1 For f(x) = what is the difference quotient? 2x- 1

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Q: Given the function f(x) = –3x – 3, express the value of +n-12) in simplest -f(x) form.

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Q: If f(x)=1/3x+13 and g(x)=3x^2+6x+12, which expression represents f(g(x))?

A: Given that  f(x) = 1/3x + 13   and g(x) = 3x2 + 6x + 12 we need to find the value of f(g(x)). Now,…

Q: If g(x) 5 x + 6 f(x), where f(- 5) = 3 and f'(- 5) = - 10, find g'(- 5). Express your answer as an…

A: Given gx=5x+6fxf-5=3f'-5=-10

Q: If g(x) = - 3 f(x), where f(6) = 10 and f'(6) = - 4, find g'(6). Express your answer as an integer,…

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Q: Find the domain and range of f(x) = 3(9x +7)2 – 7. Express your answer in interval notation using…

A: Given: The function is,

Q: What does f(x) approach  as x approaches  positive infinity? f(x)= 6x to the 4th - 7x divided by 3x…

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Q: What is the domain of h(x) = e 3x + 1? %3D (Type your answer in interval notation.) What is the…

A: Domain : where function defined

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: Give the domain for  g(x)=x+2/x^2−3x−40 in interval notation.

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Q: For the function f (x) = x-3/4-2x22. evaluate and simplify the following: f (2a- b)

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Q: For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.) x =   For…

A: Given, the graph of function which has max value and min value at

Q: Given that f(x) =x² - 15 and g(x) = 6x+ 1, find (fg) if it exists. Select the correct choice below…

A: Here the representation fg-16 indicate the composite functional value at -16 hence first we find the…

Q: Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the…

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Q: For f(x)=3-25², evaluate ƒ(2). O-3 O 5 O -1

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

A:

Q: For f(x) = x - 2 and g (x) = 2x2 - 3x - 2, state the domain of  h(x) = f(x)/g(x). Write your answer…

A: h(x)=f(x)/g(x)Denominator can not be zero. So we try to factor the denominator.

Q: Given f (x) 3 and x²-1 g(x) 2x+7, find the following. ニ Of•9)(-3) )(fof)(-9)

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Q: For the functions f(x) = - 10x + 15 and g(x) = 7x+9 find (a) (fo g)(x) and its domain (b) (g o f)(x)…

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Q: Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the…

A: We need to solve for C.

Q: Given the function R(x)=x−6 over x+6, find the values of x that make the function less than or equal…

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Q: Given that g(x) 2x + 5 simplify 2+ x g(x) - 9(-2) and write your FINAL ANSWER in the space provided…

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Q: For f(x) = 3 – 2x² , evaluate ƒ(2). - O 5 -5 O -3 O -1

A: Proceed as shown below

Q: Find the value of x in the f 1. 6. 12 8. 1)x =

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Q: For f(x) : Vx+5 and g(x) = x + 8, the domain of х-9 |x is?

A: We can find the answer as below.

Q: Given f (x) = 10x and g (x) = 4xi, find - (2) and state its domain. (4) ( Domain: :: 6zi 10z 2 :: 6z…

A: