If g(x) = 3x-5. Find g(4).

Q: What is g'(x) when g(x) = 1 3z²+6z+7 2z²+2x³

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Q: If g(x) = 3x – 7 and h(x) = x², find h(g(2)).

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Q: Find f'(x) for f(x) = e5a+2x

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Q: Find (f g) (x) = f (x) = x² + 5æ , g(x) = %3D -

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Q: For a certain company, the cost function for producing x items is C(x)=50x+200 and the revenue…

A: Given: Revenue cost: R(x)=-0.5 x-902+4050;   Cost function:…

Q: If f(x) = 3x+1 and g(x) = 5x^2 then (fog)(x) is

A: fx=3x+1  and  gx=5x2

Q: Suppose the daily cost C of manufacturing is given by C(x)=80x+4800 now hte average daily cost is…

A:

Q: 1. Find the range of values of x for which y = x3 + 5x2 - 8x + 1 is increasing.

A: We have to find the range value of x

Q: Find (fog)(x) where f(x)= /x-15 g(x) = x² + 2x

A: To find fog(x)

Q: Solve for g'(x).

A: Theorem used:

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 33x2/3 – 2x…

A: Given:- R = 33x(2/3) -2x To find:- Number of units x produces a maximum revenue R

Q: If g(x) = max {x, 1/x} what is g(x) when x ϵ N2 (.5)?

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Q: Find g(-T" 1+h -)-2 for h<<r r

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Q: Find the relative extrema. x2 f(x) = 16- — х2

A: Given: f(x)=x216−x2 Function achieves relative maximum or relative minimum (relative extrema) at…

Q: If f(x) =x^2 + 3 and g(x)= 3 -x then what is the the answer to the eqaution in the picture?

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Q: Find g(-1) wheng (x) = x2 – 5x + 2

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Q: If Iƒ g(x) = −3x − 4 and h(x) = −x² + x, find g (h (8)). -

A: Given gx=-3x-4hx=-x2+x

Q: If Q(x) =  x^3 − 25x + 100 is the cost per item of producing x-items. Is the cost per item…

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Q: Find f(x) by solving the initial value problem. f'(x)=3x2+4x-3; f(2)=4

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Q: d. (f/g) (x) f(x)=3x+4; g(x)=2x-3

A:

Q: If g(x) = x² + 6x with x 2 -3, find g(40).

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Q: If f(x) = 5x6 - 2x² then [f(x)dx=

A: The given function is: f(x)=5x6-2x4

Q: (x* -3x,ifx 22 Find g(x). g(0). g(-2) x+2, ifx < 2

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Q: If f(x) = 4 – x² & g(x) = vx then find (fog)(x) , (gof)(-

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Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 24x2/3 – 2x…

A: Given data is: R=24x23-2x To find the number of units x that produces a maximum revenue R.

Q: B) find the Domain and Range f(x) = Vx – 3x²

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Q: Find the range of values of x for which y = x3 + 5x2- 8x + 1 is increasing.

A:

Q: fG)=4x-3 SCx) == (s09) (x)=

A: gx=x2

Q: If g(x) = x2+4x with x greater than or equal to -2, find g-1(5).

A: g(x) = x2+4x with x greater than or equal to -2Let g^-1(5)=x where x is greater or equal to -2,so we…

Q: 1.fし) -x' + 5 and glx) =x²+4x-12 ラ

A:

Q: n f(x)=6x– 2 and g(x)=x² – 3x – 4 , find (f•g)(x). | -

A: Given :          fx=6x-2gx=x2-3x-4

Q: If f(x) = 3x - f(3) – g(2). 4 and g(x) -x², find the value of %3D 系 跳,, are

A: We can find the answer as below.

Q: Given f(x) = 5x - 3 and g(x) = x-, find g(f(2)). %3D

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Given f (x)= 2x +1 and g (s3)=x*+2x-1, find (I+g) (3).

A: (f+g)(x) = x2+4xexplanation is given below

Q: f(x) = (x² – 2x + 2)e*

A:

Q: f(x) =l10x2 -4xI , g(x) = 9x - 6;Find (f ∘ g)(1).

A: This question can be solved using the concept of composition of function.

Q: For what values of x is y = 150x - 2x3 an increasing function?

A: For the function to be increasing the derivative of the function should be greater than 0

Q: 3. Find (fo g)' ; if (x)= x+4 and g(x)= 2x -5.

A:

Q: What type of equation is g(x)=x^2-1

A: We have to find what type of equation

Q: Find the maximum revenue for the revenue function  R(x) = 372x − 0.7x2.

A: To Determine :- The maximum revenue for the revenue function. Rx = 372x - 0.7x2

Q: 2. If f(x) = |x|- 2 is translated -5 units horizontally and +3 units vertically, what would be the…

A: The function is given by fx = x-2 To evaluate: The new equation obtained when the function fx is…

Q: If g (x) = 4x² – 13. give the equation for g 1 (x). %3D

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Q: How do you find X in this problem?

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Q: find all possible functions with the givenderivative. y' = 3x2 + 2x - 1

A: Definition used -     Function from derivative -         f(x)=∫f'(x)dx

Q: |b) If g(x)% = 2x + 1 find g'(x) 5x + 2

A:

Q: Given: f(x) = - 3x + 7 g(x) = 2x + 1 h(x) = – 4x + 5 Flnd

A: Introduction: The composition of three functions f, g, h is given by, f∘g∘h(x)=f(g(h(x))) Where x is…

Q: Find the point on the graph of the equation f (x) = x² – 8 that is closest to the point (0, -2)

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Q: Find values of x where f(x)=2x3 – x +5 and g(x)=x2-8 have same slope.

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Q: Solve for f(g(x)) and g(f(x))

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Q: Find the point at which the line f(x)=−5x−10 intersects the line g(x)=−4x−8.

A: We need to find a point of intersection of both the given lines.