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: 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: 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: 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: 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: