30. Find the inverse function of f(x) = -x² + 8x – 14 if x < 4. Find the domain of this inverse function.

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

A:

Q: 05:- Find the inverse function f-1(x) if exists in the following cases:- c) f(x) = 1-

A:

Q: Find a formula for the inverse of the function.  f(x) =  x 2  - x ,            x &gt; =1/2

A: Given function:

Q: Find a formula for the inverse of the function.

A: We first switch x and y

Q: f(x) = 2x + 1

A:

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

A:

Q: show that the function f(x) = (x − 1)e^x^2 has an inverse, and find (f^-1)' (0).

A:

Q: 11. Find the inverse of the function f (x)= 3x – 2 4x + 5

A: The solution are next step

Q: 10. Determine whether g(x) = 3x – 6 and f(x)= x+2 are inverse functions. 3

A: we have to determine whether g(x)=3x-6  and f(x)=13x+2 are inverse functions.

Q: Show that f(x) = |5x| has no inverse function.

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: I need help on question B) : Suppose i have  f(x) = -1/2x^2+9   How would I find the inverse…

A: fx=-12x2+9 Put y=fx Then y=-12x2+9

Q: b. What would be another acceptable way to restrict the domain of the inverse function?

A: We have, y = sinx  So, x = sin-1(y)

Q: 2. Verify that f has an inverse and find (f-1)'(c) f (x) — 1 — 2х — х3, с — 4 [Hint: Find f1(4)…

A:

Q: 3. Find the rule for the inverse of f(x) = X +1

A: Inverse of functions is given.

Q: (b) Find a formula for the inverse of the functiony= e2x-1,

A:

Q: 7. Given f(x) x + 1 write an equation for the inverse 3' function.

A: The steps to calculate the inverse is given below: Replace f(x) by y. Now replace x with y and…

Q: Q5:- Find the inverse function f-1(x) if exists in the following cases:- a) f(x) =

A: f inverse (x) = 1+ [1/(x^2)]

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: Find a formula for the inverse of the function. f(x) = 2 + V4 + 5x f-1(x) = ||

A:

Q: What is the inverse of the function 4x-1? f (x) = 1? 2(x+1) O f-1 (x): = 4 2x+1 O f-1 (x) 4 4(x+1) O…

A:

Q: 4. a) Find the inverse of f(x) = = 3 %3D 4-

A:

Q: a. Find the inverse of the function ƒ(x) = mx, where m is a constantdifferent from zero.b. What can…

A:

Q: Find the inverse function of y = (2x-1) (x-1) fx) = -1) 2x f(x) =2* fx) = (x+1) 2x (х-1) fx) = (x+1)…

A: Inverse of the function

Q: 4. Find a formula for the inverse of the function. 1-Vx y = 7+Vx

A: Consider the function y=1-x7+x. Interchange x and y and obtain the new equation as x=1-y7+y. Rewrite…

Q: 1. Find the Inverse of the function f(X) = X + 19

A: Given : f(x) = x + 19, we want to find the function f-1 that takes the value y as an input and spits…

Q: 05:- Find the inverse function f-1(x) if exists in the following cases:- b) f(x) =, x 0 x+1

A: Find function of y Then replace y as x

Q: Find the inverse of the function on the given domain. f (x) = (x – 4)², [4, 0) s-1 (2) =

A:

Q: 4. State the domain and range of the inverse of the following function y=2√x+1,

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Q: Find the inverse of f (x) = x +b, where b is constant. How is the graph of f related to the graph f.

A: Inverse of functions return its original value for which a function gave output

Q: Find a formula for the inverse of the function.  f(x) = e x  /  (1 + 2 e x  )

A: Given function (x) -f(x) = ex1+2exFor finding the inverse, we solve for x then - 1+2exf(x) =…

Q: 7) Find the inverse of the function g(x) = x² + 2x,[-1,0)

A: Simply replace the x by y and f(x) to x and solve the new equation for y.

Q: 2х + 3 Find the inverse of the function f(x)= х-4

A: To find the inverse of function f(x),  Put f(x) =y. Switch x and y  Solve for y.  Put in

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

A:

Q: 1. 3y4 + 2xy = 4

A:

Q: 3. ay Find the inverse of f(x) =x+1 and name a coordina

A:

Q: Find a formula for the inverse of the function.  f(x) =  e 2x -1

A: Given:          fx=e2x-1 To find the inverse proceed as follows:        fx=e2x-1 First, set plug y…

Q: 4. If y(T) = 1 – exp(-bNT), find the inverse function T = T(y). (Show me your work!)

A: Answer

Q: What is the inverse of the function f(x) In(5x 2) for {x: x E R |x > 0.4}?

A: According to the given information, it is required to find the inverse of the given function.

Q: For the function (x)=1/(x+1)  is f(x)^-1= (1/x)-1 the inverse? If so, please show how!

A:

Q: Find the inverse of the function on the given domain.   f(x)=(x−15)2, [15,∞)

A: To find the inverse of the given function.

Q: b) Verify that f(x) = 5x – 1 and g(x) = x+1 are inverse functions. 5 %3D

A:

Q: Find the inverse of the function on the given domain. f-1 (x) = f(x) = (x - 18)2, [18, ∞)

A: Inverse of function f(x)=(x-18)2 . In the interval [18, infinity) is  f-1(x)= 18+sqrt(x)

Q: 28. Find the inverse function f1 (x) if f(x) = 0.08x + VT 10 A) " (x - VT) (x - VT) 8 100 B) 8 10 C)…

A:

Q: 7) Show that the function ƒ(z) = z² +4 has no inverse function.

A:

Q: Find a formula for the inverse of the function.  f(x) = ln (x+3)

A: We have to find the inverse of the function: fx=lnx+3 To find inverse of any function we equate that…

Q: hat is the inverse function of f (x) = 3+ 5x

A: Given that f(x)=3+5x The objective is to find inverse. Take, y=3+5xy-3=5xy-35=x

Q: verify the inverse function theorem of y=4x^2+4x+9

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Q: 7. Find the inverse of the function f: f(x) = In (x)² – 4, x2 0, using 4 steps

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Q: 2 a) Determine the inverse of the function f (x) = ÷+ +1. 3x %3D

A: