ind f-1(x) then: Algerbraicly prove that it is the inverse of f(x): f(x)=(x-4)/(3x+5

Q: 3a.

A:

Q: 6x Given: f(x): 6. -- %3D 3x 1 Find the inverse function, f (x).

A:

Q: Find the inverse function (if it exists) of f(x) = ln (1-2x). If the function is not invertible,…

A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange…

Q: x2 - f(x) Let k(x) = %3D 2x- 3 Find k' (-1), given that

A: Given:-k(x)=x2·f(x)2x-3f(-1)=-2f'(-1)=3To find k'(-1)

Q: The maximum value of F in F(x) = - 4 cos x is 2 4 1

A: We know range of cosine function is [-1,1] Therefore maximum value of f(x)= -4cosx is, f(x)=-4cosx…

Q: A- TI x + 2 x² – 3x – 10 51. f(x) x + 2| 53. f(x) : x + 2 х, 55. f(x) : x, xs 1 [x², x > 1 %3D x +…

A:

Q: x²-1 If f(x) = for x +1 and f(x)=2 when x 1, show that the function x-1 is continous at x=1?

A: Show that f is continuous at x=1

Q: Let (-x² when x 0 (a) Is f increasing? (b) Does f have an inverse? If so, what is it?

A:

Q: 3x +1 Consider f(x): 5x Find its inverse if it exists. -

A:

Q: Show that the function f (x) =1- x is bijective and also find its inverse function.

A:

Q: Find the inverse of f(x)=2x+1. Show your work (Non-anonymous questionO)

A: f^(-1) (x) = (x-1)/2

Q: -x² +1 Let f(x) be defined as f(x)={* - | 1–sin² x if x20 if x<0

A:

Q: 1. f(x) = Vx , g(x) = 9 - x² %3D 2. flx) = Vx , g(x) = х-2 3. f(x) =, g(x) = Vã

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: Show that f (x) = x³ +1 is one-to-one and find its inverse function f-'(x).

A:

Q: (a) Find the inverse function of f(x) = 4x – 4. f (x) +1 1 (b) The graphs of f and f are symmetric…

A:

Q: What is the inverse function of f(x) = x- 2 2x f-'(z) = - (z) = I- 2 f (2) = 2x f (x) = r - 1

A: Replace f(x)by x and x by y than solve for y.

Q: 6. Sketch f(x) and it's reciprocal f (x) = -2x -4 %3D %3D

A:

Q: f(x) = 2/(x^2+1) -1  is f(x) continius?

A: The given function fx=2x2+1-1 Since x2+1 is always +ve. Therefore, 2x2+1 is always positive and real…

Q: (B) The function f(x) = x² + x +1 has no fixed point, prove that.

A: Let X be a nonempty set and f : X → X. A point x ∈ X is a fixed point of  f, if f(x) =x.  If no…

Q: Identify the inverse function. f(x)3D 2 Oo f(2) = *) In (2x F 2) = In[(2a)*| f(x)3 4ln(2x) f (z) =…

A: Given: f(x)=ex214 ; To find the inverse function:

Q: Let f(x) = - x - 4x + 13 , x< - 2. Find a formula for the inverse function . %3D f"(x) = D -1

A: Given data

Q: 16. Find the inverse function of f. f(x) = x2 - 3, x 2 0 Then, use compositions of functions to…

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

Q: Find the inverse function of r informally. (x) = x f-(x) = 3x Verify that f(f-{(x)) = x and f-(f{x))…

A: (i) fx=x3⇒x=3y ; f-1x=3x . (ii) ff-1x=f3x=13.3x=x  (proved) (iii) we have to find : f-1fx=f-1x3 Now,…

Q: Find the inverse of the function y = In (x - 2). %3D

A: y = f(x) = ln (x-2) ey = x-2 x = 2 + ey x = f-1(y) = 2 + ey

Q: Coo show that the f(x,y)=X+4xy-3y gdegrad is homogenaow of

A: Concept used: The function is homogeneous of degree n if fkx,ky=knfx,y. Given: fx,y=x3+xy2-3y3…

Q: 1-x Find the inverse of f(x) = 2x E algebraically.

A:

Q: Verify that f and f-1 are inverses f(x) = (ex+1)/(2-ex) f-1(x)= ln ((2x-1)/(1+x))

A: Given information:The given function is f(x) = (ex+1)/(2-ex).

Q: 2х f(x) = ,x 1

A:

Q: (a) Find the inverse function of f(x) = 6x - 1. f-(2) (b) The graphs of f and f' are symmetric with…

A:

Q: find Domain and inverse flx)= f(x)= (4-e* %3D

A:

Q: Verify the inverse function theorem of function f(x) = 3x – 2. -

A: We have to fi nd the inverse function

Q: Find f. f '(x) = 4x − 3/x4,  x > 0,  f(1) = 7

A: given that f'(x)=4x-(3x/x4) and f(1)=7. we need to find the f(x) value. consider f'(x) and integrate…

Q: Verify the inverse function theorem of y = Vx +2

A:

Q: erse of f (x) = }x +1. w

A:

Q: 2 (a) Show that the function f(x) = r³ – x2 + 1, x > has an inverse. %3D (b) If a is the inverse of…

A: Inverse of function

Q: (a) Find the inverse function of f(x) = 4x – 7. f-1(x) = || (b) The graphs of f and f- are symmetric…

A:

Q: f(x) : == - x2, with domain [2, +o) %3D

A:

Q: Let f(x) = x2 – 6 and po = 3 and pi = 2. Use Secant method Example: to find p3.

A: Given: f(x)=x2-6, p0=3 and p1=2 To find: Value of p3 using Secant method.

Q: R(x)= ex-1

A: Domain of a function is the all possible values of x such that f(x) exists finitely. for f(x)…

Q: Let fAx) =x' 4x + 20. a) Explain using Calculus why f has an inverse function (invertible). b) If…

A:

Q: Find the inverse function for f(x)= 2/x-1. Show all work.

A: Let the given function be written as,

Q: Let f(x)=1x−2 ; for what values of x , f(x) will be discontinuous?

A:

Q: 1- Vã y = x2-4x2 + 16V, x24 エ-2

A:

Q: 2. Use function composition to show that f(x) 3. %3D 3-2x %3D and g(x) x+2 are inverses.

A:

Q: (a) Find the inverse function of f(x) = 5x - 9. f-(x) = (b) The graphs of f and f are symmetric with…

A: To find the inverse of a function, we first find x in terms y and then replace x by y and y by x

Q: х — 1 - 2. For f(X) calculate f-'(8) = ? %3D х — 3 -

A: Given : f(x) = (x - 1)/(x - 3), we want to find the function f-1 that takes the value y as an input…

Q: Find the inverse of the function. (Enter the domain using interval notation.) f(x) (х + 3)?, X 2 -3…

A:

Q: Find (f-1)(a). f(x) = 5 + x + tan(rx/2), -1 < x < 1, a = 5 (f-1)'(a) =

A:

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.