Given two functions f and g, the denoted fog, is defined by f o g(x)= Given two functions f and g, the denoted fog, is defined by f o g(x) = inverse function, identity function, composite function,

Q: 5. f(x) = and g(x) =

A: If the composition of function results in x only then those functions are said to be inverse of each…

Q: Obtain the graph of the inverse function from the graph of thefunction

A:

Q: 6. For the given functions:   i)  Find the inverse of f, ii)  Graph both functions on the same…

A: According to the given information: For part (i) it is required to find the inverse of functions.

Q: Sketch a function that is one-to-one and positive for x Ú 0. Make a rough sketch of its inverse

A: If we take function fx=x2 on the interval [0,∞). This function is one to one and positive on the…

Q: Use f-¹(f(x)) = x to determine a. Iff-¹(x) = - b. Evaluate f-¹ (8) is the inverse function of f(x) =…

A: We need to use the given property to solve the question.

Q: Since the inverse is unique, it can be either g(f(x)) = for each x in the domain of f. V1+36x² 2x or…

A: Given that  and  are inverse functions.The aim is to find the given definition.

Q: 15) Given f is a one-to-one function with values f(-4) = 7 and f(9) = -15. Find the corresponding…

A: Solution: The objective is to find the corresponding inverse functions

Q: How does your relationship with someone special related to the one-to-one and inverse function?

A: We will try and understand one one functions and inverse functions using the relations around…

Q: 3. (x) = xi and g(x) = (x +3)i 6. S(x) = and g(x) =

A:

Q: What is the inverse of this function

A: Let, f(x) = y  So, f(x) = - 6x - 7 implies,

Q: Suppose that g and h are inverse functions, and that g(–50) = 25, evaluate h(25)

A: It is given that g and h are inverse functions and- g-50=25

Q: For which of the following relations an inverse function does exist? Select one: {(a,1).(b, 2), (c,…

A:

Q: What is the inverse of a function from A to B under function composition?

A: Let f : A→B be a bijective function.

Q: where t = 2. Let y = (주) When this function is written in standard power function form y = kxP ,…

A: Let y=12x-t where t = 2

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: