Consider two one-to-one functions f and g for which the following statements are true: • Domain of f is (0, 3). • Domain of g is [-1, 00). • Image of f is (-∞, ∞). • Image of g is (-2, 2]. •f(2) = 0 • g(0) = 1 (a) Why should we believe that f(1) # 0? because f is one to one and f(2) is already 0. . (b) Write the domain of f-: (c) Write the image of f-l: (d) Find the value of (f ~1 • g-1)(1) =

Q: Define f(x) = 2 – 3x? What is the domain of this function? (-00, 2) (-00, 2] [-3, 0) (-x0, 0) [0, 0)

A:

Q: Given a function and g(x) - 3(x- 1). how would the graph of. y-Ax) compare to the graph of y-Ag(x))?…

A: y=f(x)= 3x-3 is a straight line and graph is

Q: B D D a graph of the function with a curve. Its negative over the intervals (-2,0) and (3,∞) and…

A:

Q: Find (a) the domain of  f and (b) f-1 and its domain.   f(x)  = In  (2 + In x)

A:

Q: -5 -20 -10 9- Which ordered pairs are included in f(x)? Included in f(x) Not included in f(x) 2.

A:

Q: The inverse of a relation r is r {(0, 0), (0, 1), (0, 2) }. Which of the following may be the…

A: Topic = Relation   The Inverse of a Relation is a set of ordered pairs that is the exact inverse of…

Q: Let f(x) = x²-1 and g(x)= V15 – a Find the the natural domain o the function gof(x)

A: we have to find domain

Q: What is the function's end behavior? f(x) =x-3x3 +x - 3 Select all that apply. A → + 00, as x→ + 00…

A: We have to find the option

Q: Find the domain. f(x) = 7x - 1 O {x[ x is a real number and x + 0.1428571 O {x[ x is a real number…

A:

Q: 25 – 3 Evaluate the domain of the function h(z) = 3 - z2 - i

A: The domain of a complex function f(z), is the values of z for which the function is defined .

Q: Define Į æ² – 5 2x + 1 - 5 if x 1 f(x) = Is there an open circle or a hole on the graph of this…

A: for this function, the value of x should be less than 1  which means there can be a hole at x=1 so…

Q: 3 2 -1 -4 +2 -1 1 4 6. -1- -2 -3 -4

A:

Q: Sketch the graph of the function. f(x) = In(|x|) 3 U

A: Given  f(x)=ln(|x|)write as piece wise function f(x)=ln(-x)     for x < 0ln(x)         for x >…

Q: Which of the following relations (over N) are functions? (Select all that apply) (a) O The =…

A: A relation R is on a set S is said to be function if for any x in S there exists unique y in S such…

Q: 4.) The functiong is related to one of the parent functions g(x) = |x - 1| + 5 a.) Identify the…

A: Given:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.