The green line is f(x) and the red line is g(x). Please solve each function composition.

Q: Differentiate the function. f(x)  = x5 + 5x

A: Given function:

Q: Solve for f(x)

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Q: Differentiate the function. 3 + 6x g(x) 7 - 2x g'(x) =

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Q: Analyze the graph of the function. Зх- 12 H(x) = 16 -x

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Q: Differentiate the function. ,74 f(x) = x'4 – x + 6 f'(x) =

A: Given: f(x)=x74-x+6 .

Q: Use the graph of f(x) = x2 to write an equation for the function represented by the graph.

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Q: Write an equation for the graph above. f(x) = %3D

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Q: What is the domain and range of y= 2-x Is it a function?     Please provide solution thanks!

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Q: snip

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Q: When a company charges p per unit, it can sell 100 − 2p units. What is the revenue function?" I'm…

A: Given that:-price per item=punits of item sold=100-2pTo find: the revenue function

Q: In the piecewise function in the picture, what does y equal when x=3?

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Q: Use the graph of f(x) = x3 to write an equation for the function

A: the graph f(x) reflected over the y-axis and then moved 2 units left and 2 units down.  So new…

Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: Explain how you would graph the function f (x) = -(1/3)x.

A: We have to draw the graph of exponential function: fx=-13x We know the graph of fx=13x,

Q: Graph the function: f(x)= √-x

A: To graph the function, fx=-x

Q: Determine where the graph of the function f (x) = x³ – 6x² is concave upward and concave downward.

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Q: How many x-intercepts can the graph of a function have? How many y-intercepts can the graph of a…

A: A graph of function can have infinitely many x-intercepts. For example: Sine function and cosine…

Q: what should my equation be?

A: Here in this table you wrote the values of functions from x=1 to x=9   For x=1, f(x)=3 For x=2,…

Q: x+2 f(x) = + 1

A: The graph is shown below of f(x):

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 9, (0,…

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Q: Find the graph of the equation. f (x) = | x – 2||

A: The function is given by f(x) = |x-2|

Q: Starting with the graph of f(x) = 4", write the formula for the function that results from

A: Given data:     The given function is: f(x)=4x.     (a) To shift the curve three units upward, add 3…

Q: Differentiate the function.  y= x 5/3 - x 2/3

A: We have to differentiate the function: y=x53-x23 We know the formula of differentiation: dxndx=nxn-1…

Q: Determine where the function is convace upward   f(x)=-5x2-8x+5

A: A function is concave upward when it's second derivative is greater than zero. If the second…

Q: Differentiate the function ƒ(x)=(1+2·x)^5

A: ƒ(x)=(1+2·x)^5

Q: Find the points on the graph of the function that are closest to the given point f(x) = x2 – 7, (0,…

A: Consider the provided function, fx=x2-7,   0,-5 The distance formula is D=x2-x12-y2-y12 . We can…

Q: f (x) = 55x34x²

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Q: Find the slope of the graph of the function at the given value. f(x)= 2x² + 4 when x = 5

A: Slope of graph of function at given point is first derivative of function at that point.

Q: Differentiate the given function. 7x-2+-

A: Here we apply product rule of differentiation (UV)' = U(V') +(U')V

Q: Find the relative extreme values of the function f(x) = - - 6x + 5.

A: Calculate f'(x) and f''(x) for f(x)=x33-x22-6x+5 as follows.…

Q: Differentiate the function. f(x) = 16{x – 3 +2x

A: Given   f(x) = 16 x4-3+2x     now differentiating 1 w.r.t. 'x ' , we get    f'(x) = ddx16x14-3+2x…

Q: Explain why the function has a zero in the given interval?

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Q: How can I solve the domain of this function?

A: Clearly we can see that the given function is a polynomial of order 2. And we know that polynomial…

Q: Choose the graph of the function without using your calculator. Then, use your calculator to check…

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Q: Differentiate the function. f(x) = (5x2 – 7x)eX f'(x) =

A: →Product Rule of differentiation:                 duvdx = udvdx + vdudx→dexdx =ex→dxndx = n xn-1

Q: Differentiate the function: f(x) = xSECx divided by 4 + x2

A: To differentiate the given function-f(x)=xsec(x)4+x2 Here we have used following formulas-…

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 8, (0,…

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Q: |Find constants a, b, and c such that the function f (x) = x³ + ax? + bx + c will INCREASE to the…

A: Let's find.

Q: Differentiate the function. 7-x f(x) = 2+x f'(x) =

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Q: Differentiate the function. 4 F(x) 5

A: Given F(x)=45x10⇒ddx(45x10)⇒45*ddx(x10)We know that ddx(xn)=nxn-1

Q: Determine where the given function is increasing and where it is decreasing  45x3  -3x5

A: A function is increasing if f'(x) > 0 and decreasing if f'(x) < 0.

Q: How doe you solve a function such as "43x-5=71-x"?

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Q: Proble Diego wrote f(x) = (x + 2)(x – 4) as an example of a function whose graph has x-intercepts at…

A: Here x intercept comest at x=4,-2.

Q: Differentiate the function. f(x) = x³ - 7x + 2 | f '(x) =

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Q: Find the point of inflection of the graph of the function. f(x) = 2 – 7x4

A: Consider the given function y=fx=2-7x4 First, find the first derivative of the function…

Q: 1 f(x)3= 8x

A:

Q: What is the range of the function f(x) = 4 – x^2? Please solve and explain.

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Q: (x)=(x²-3)' +x) 2 5

A: