(a) Show that f(x) = x +1, x20, is one to one, and find its inverse together with its domain. (b) Graph f(x) and f (x) in one coordinate system, together with the line y =x, and convince yourself that the graph of f (x) can be obtained by reflecting the graph of f(x) about the line y =x. -1

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: Use the given graph of y = f(x) to answer the following questions. (a) What is the domain of f¹? (b)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Use the graph of y = f(x) to graph the given function g: g(x) = f(x - 1) + 2

A: Given The draw graph g(x)= f(x-1)  +2  by using graph  f(x) Coordinate of graph f(x) is (-4,0)…

Q: 9) Given f(x)=x²-2 a) Find an expression for f¹ (f's inverse) b) Graph both f(x) and f¹(x) on the…

A:

Q: 9) let f(x) = (x +2)² - 12. a) Sketch a "good enough graph" of f. b) Determine the number of…

A: (a) f(x)=(x+2)2−12

Q: Use the given graph of y = f(x) to graph the function g : g(x) = f(x - 2)

A:

Q: Let f(x)= 1/4x-9 (d) Graph y = f(x), y = f −1(x), and y = x on the same set of axes. (Note that the…

A: We have to graph the function and it's inverse along with y=x, on the same set of axes.Given…

Q: For f(x) = (x - 2)² + 4, do the following. a) Sketch a graph of the equation. b) Identify the…

A:

Q: Two identical circles of radius r are inscribed in a rectangle as shown. ∞o (a) Express the area of…

A:

Q: Use the graph of y = f(x) to graph the given function g: g(x) = 2f(x + 2) - 1

A: The graph of y = f(x) is  g(x) = 2f(x + 2) - 1

Q: The function f(x): х is one-to-one. (a) Find the inverse of f and check the answer. (b) Find the…

A:

Q: Use the given graph of y = f(x) to graph the function g : g(x) = - 1/2f(x - 2) + 2

A: Given: Graph of y=f(x) To determine: Graph of g(x)=-12f(x-2)+2

Q: 1. for f(x)=x2 + 2 AND g (x)= 8 - 7x, evaluate:  a) g(-3a + 1) b) g(-3a + 1) - f(a+4) c) x when…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: The function f(x) has been transformed to y = -2f(-x+3)+1, which has resulted in the mapping of (4,…

A: We have to find correct option using given data. Concept required:

Q: Given the function f (x) = 1/3 x2 - 6x + 5 determine the inverse relation

A:

Q: 5. Use transformations to sketch the function y=-3log10 (x-1) +2.

A: We have y=-3log10x-1+2 Now, if the original function is y1=log10x, then we apply various…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.