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: 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: If f(x) is a function with domain (-00, 0) and it has an inverse function, which of the following…

A: We have to find

Q: Let f(x) be a function which has inverse. If f(3)=8 then f-1(8) equals a. 8 b. -5 c. 5 d. 3

A: It is given that,  f(3)=8 f-1(8)=?

Q: Determine which two functions are inverses of each other. f(x) = 4x g(x) = h(x) == x) ond b/x

A: The given function are fx=4x, gx=x4, hx=4x

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: For a function f and its inverse f, ff(x))

A:

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

A:

Q: a. Find the inverse of the function below on the given interval and write it in the form y=f'(x). b.…

A:

Q: Determine which pair of functions are inverse of each other. You may choose more than one. O le) -…

A: Two function f(x) and g(x) are inverse of each other if they satisfied both the conditions fg(x)=x…

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: Suppose f is a one-to-one function on a domain D 1 with range R. The inverse function f is defined…

A: The function given to us is  f(x)=x3+1

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: Let, f (x) = 5x + 2 and g (x) = x + 3. If the INVERSE FUNCTION of f (g (x)) is²,ª, find ab.

A:

Q: 4. a) Find the inverse of the following function. f(x) = 2(x – 6)² -

A:

Q: Give the inverse form of the given function

A:

Q: 3. Determine all the roots (real or complex) of the polynomial p(x) = 2x4+13x³+27x2+13x-15.

A: Since you have posted multiple questions. As per guidelines, we"ll solve only first question. If you…

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: