Provide complete and clear solution for each question. Work Problem 2 ( +2 x²-x6 x²-100 x+10 B. Find limx→0+ of definition of ? What is the domain C. Find the inverse of the function f(x) = x-11 x+1 What is the range of f?

Q: 5. If f(x)=-3x+5 a) Find f-¹(x). b) Use function composition to prove that they are inverse…

A: a) finding the inverse of f(x)

Q: Graph the piecewise function defined by

A:

Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

A: Let, l = the length of one side of the rectangular field w = the length of the other side.

Q: Find f(a), f(a+h), and the difference quotient for the function given below.

A:

Q: Suppose you are standing at a distance, d, of 150 feet from a statue of height h feet. h 0 = d Ө…

A: Height of the statue is h feet.The distance between statue and you is d feet.

Q: If the function is one-to-one, find its inverse. If not, write "not one-to-one." 12) f(x)= 2 X-5 A)…

A:

Q: How to use the standard y = f(x) notation to indicate that (a, b) is an element of the function f?

A:

Q: Analyse the key features of the function and sketch f(x) = x³ + 6x² + 9x

A:

Q: Explain what type of function is automatically an algebraic function?

A: A function is called as an algebraic function if it is made by algebraic operations like addition,…

Q: Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the…

A: Given: y=e4x2+13   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x