For this function, I understand the a from f(a)+3 will go into the spot for x in f(x)=x^2-4. However, where does the + 3 go in the equation

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Reflect  f(x)=2x^2+3x-1 over the X axis and write the new equation for g

A: Reflect  f(x)=2x2+3x-1 over the X axis and write the new equation for g

Q: determine where the function is concave upward and where it is concave downward    g(x)= -X^2+7x+8

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Q: For f(x)=x^3-ax^2-×+8, find the x-intercepts

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Q: What is the point of inflection for the function f(x) = x³ + 2x² – 3x - 4? %3D

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Q: Describe the end behavior of the function f(x)= √7x

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Q: How did you get f(x) = 2-2x, can you please let me know.

A: (a) there may be a lot of examples of function f such that      f : [0, 1) → (0, 2] is bijective.…

Q: If f(x)=7x-10, find f-1(18)

A: Since f is a linear function therefore to find the required value we need to find the value of x for…

Q: Consider f(x) = 3x4 −16x3 +24x2 −9. sketch the function

A: We have to sketch the given function.

Q: Do f(x) = 2x2 - 1 and h(t) = 2t2 - 1 represent the same function? why or why not

A: The two given functions are

Q: For the following questions, use the function: F(x) = x^3-2x^2-23x+150 If f(x) has x = -6 as one…

A: Here we have to use the given function to answer the question. I have appended the formula used in…

Q: find a so that the domain of the function f(x) = -5x +sqrt{a-x^2} is (-3,3) a. 3 b. 9 c. -9 d.…

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Q: How can the functions be multiplied by constants?

A: Multiplication of the function by a constant can be done by multiplying the output of the function…

Q: For the problem, find a.  f of g  b. g of f  c. f of f d. g of g f(x) = 3x+1 and g(x) = x^2

A: To determine the expressions for the composite functions.

Q: Don't we exlude -3 from the domain because of the value of f(x)?

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Q: Please answer and explain

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Q: find the equation of the inverse of one-to-one function  n(y) - y^2+9, y≥ 0

A: We know that x = y2 + 9 is a parabola with the vertex at (9, 0). The graph that is shown below…

Q: In reference to the following function: f(x) = x^2 + 7x + 13 / x + 4 What is the domain and…

A: Sol