Marissa wants to join a video game club. She will be charged a flat fee to join the club and will also pay for each game she purchases. The total amount she can expect to be pay, in dollars, can be estimated using the function f(x)=20x+90f⁢(x)=20⁢x+90, where xx is the number of games purchased. What is the inverse of this function?

Q: What is the zero of the function?

A: We have to define the zero of the function.

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Given, f(x)=15000+3000x , where x is the number of siblings and f(x) is the financial aid of the…

Q: is this a function and why y = x2 + 3

A:

Q: A parachutist is falling with speed 176 ft/s when his parachute opens. If the Wv? lb, where W is the…

A:

Q: Find the Relative Change in the values of the function f(x) = x³ + 2 between x = 1 and x = 2.4

A: At x =1 ; f(1)=13+2=1+2=3At x=2.4f(2.4)=(2.4)3+2 =15.824

Q: Find the points of inflection of the function f(x)=xe−2x.

A: Inflection point is the point where concavity of f(x) changes. At this point double derivative of…

Q: Is the function f(x) = 1 the same as the function g(x) = xx

A: Given: Is the function f(x) = 1 the same as the function g(x) = xx

Q: Determine where the function is concave upward and where it is concave downward. g(x) = -x² + 9x + 3

A: if second derivative is positive in any interval then f(x) has cancave upward  if second derivative…

Q: Find the points of inflection of the function f(x)=x3 / 1−x2.

A:

Q: Find inverse function of  y= 4x-6

A: Given, The function y = 4x-6  We have to find the inverse function of  y = 4x-6.

Q: Find the domain and range of the function. f(x) = 1/x2

A:

Q: Find the domain of the function f(x) = √(x + 2)

A: The domain of function f(x) is the set of all values of x where the function value is defined.

Q: Consider the function f(x) = 3x° + 2x – 1 and the equation f(x) = 0.

A: Given :-  Consider the function f  x = 3x5 + 2x -1 and the equation f  x  =0.

Q: Find the relative extrema of the function. f(x) = 100xe2x

A: The given function is fx=100xe0.02x. To determine the relative extrema of the above function, first…

Q: Suppose that the function f(x) = 2x + 12 represents the cost to rent x movies a month from an…

A:

Q: Your cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan.  The total…

A: We are given the total cost can then be defined by the function C(x)=800+60x and the average monthly…

Q: Find the domain of the function.

A: Given function, f(x)=x+2x-10

Q: Differentiate the following function. - 8x f(x) = 4x e

A: Given: fx=4xe-8x for finding derivative of this we will use some formula of differentiation given…

Q: The amount of foreign earnings​ (in trillions of​ dollars) kept overseas can be approximated by the…

A: we have been given the function for the number of foreign earnings kept overseas  f(x)=0.232(1.18)x…

Q: Enter the equation of the function, g(x), whose graph is the result of f(x) = √√x shifted right 6…

A: Please see the below picture for detailed solution.

Q: A group of 6 students is surveying their classmates to get feedback about the different clubs…

A:

Q: Is f(x)=x2 - 11 is an example of a non-linear one to one function? Find its Domain and Range if it…

A: f(x) = x2  - 11 It is quadratic function.

Q: The original function, f(X) =X², is transformed by a horizontal shift of 2 units to the right. What…

A: The given function is fx=x2. We have to find the transformation of the horizontal shift by 2 units…

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

A: We have to check

Q: determine the simplified equation of the new function h(x) = f(x) + g(x), where f(x) = 2x - 3 and…

A: From the given problem: fx=2x-3 &  gx=x+1 And hx=fx+gx So, we can write as: hx=2x-3+x+1

Q: What is the inverse of the function f(x) = 8x + 1? f (2) =

A: Consider the handwritten solution.

Q: Is f(x)=4x-3 a one-to-one function?

A: That's easy. Have a good day!!!

Q: Use a graphing calculator to find f'(x) when x has the given value. f(x) = x^; x= 2

A: Given,           fx=xx3 ; x=2

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

A:

Q: Express the perimeter P of a rectangle as a function of the width W if the length of the rectangle…

A: According to the given information:P is defined as the perimeter of the rectangleW be the width of…

Q: f(x)=x3 - 2 is an example of a non-linear one to one function? Find its Domain and Range if it…

A:

Q: A monthly cell phone charge is $45. Each long-distance minute used costs $0.30. The total monthly…

A:

Q: Find the inflection points of the function f(x)=x+x5/3.

A: Inflection points are the points where the second derivative is zero. So differentiating with…

Q: Is the function f(x) = x3 one-to-one?

A: Given: fx=x3 Horizontal line test: If no horizontal line intersects the graph of the function more…

Q: What is the parent function of y = ○y=x³ y=x² − 3/3 (x + 2) (x − 8)?

A: y=-23x+2(x-8) we have to find its parent function

Q: Differentiate the given function fcx) = (1-3ex)²

A:

Q: Differentiate the function: f(x) = √(1+3e4x)

A:

Q: Find the slope of the graph of the function at the given point. f(x) = V1 - x3, (-2, 3) f'(-2) =

A:

Q: Your cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan.  The total…

A: We are given with the total cost for the iPhone and we are also given with the average monthly cost…

Q: Find the domain of the function.

A: Given, h(x)=4-x+x2-1

Q: : Find extreme values of functions and where they occur Y = x3 - 2x + 4

A: Given function is : y=x3-2x+4 Find the extreme values of function and where they occur.

Q: Differentiate the function with respect to the independent variable. f(x) = 6 – 5x - 8x? f'(x) =O

A:

Q: Why do we restrict the domain of a function when we are finding the inverse? *

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.