Question
Asked Dec 7, 2019
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The function f(x) =
is one-to-one.
(a) Find its inverse and check your answer. (b) Find the domain and the range of f and f.
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The function f(x) = is one-to-one. (a) Find its inverse and check your answer. (b) Find the domain and the range of f and f.

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Expert Answer

Step 1

F(x)= 8/(3+x)

For the given function

  1. Find the inverse and check your answer
  2. Find the domain and range of  f and f-1
Step 2

Inverse of the function

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f(x) = 3+x y = 3+x = y(3+ x)= 8 = 3+x=- →X = --3 8-3y Changing x→ yand y →x 8- 3x = y =- (x) = 8-3x (x)=: 00

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Step 3

Checking the inverse...

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(5 (x) = 3+ f¯'(x) 8- 3x 3+ 3x+8– 3x Henceverified 00 || || ||

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