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For each function f below, find f -1 , the inverse function of f. Then find the domain of f -1 , and write it using interval notation.

For each function f below, find f -1 , the inverse function of f. Then find the domain of f -1, and write it using interval notation.

  1. f(x) = √x + 3 −4
  2. f(x) = 5− √x−2
  3. f(x) = 3√2x−3 +1
  4. f(x) = 3√4−x −7
  5. f(x)= 3x+1 / 2x-7
  6. f(x) = 9x−2 / 5x−4

 For each pair of functions below: find f ◦ g ; find g ◦ f ; and use your results to determine whether f and g are inverses of each other.

1.f(x) = 3x−4 g(x) = 4x + 3

2.f(x)= 2/3x-6 g(x) =3/2x+9

3.f(x)=2/x g(x) =2/x

4.f(x)= - 3/2x g(x)=3/2x

Top Answer

I) 1.  f ​ − 1 ​ ​ ( x ) = ( x + 4 ) ​ 2 ​ ​ − 3  ; Dom  f ​ − 1 ​ ​ = [ − 4 , + ∞ ) ... View the full answer

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