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Answered

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I need help on this urgently please thank you

I Need Help On This Urgently Please Thank You class=

Sagot :

sqdancefan

Answer:

  g(x) = -√(x+6)

Step-by-step explanation:

The inverse of the function y = f(x) can be found by solving for y the relation x = f(y).

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solve for y

  x = f(y)

  x = y^2 -6

  x +6 = y^2 . . . . . . add 6

  -√(x +6) = y . . . . . negative square root

The negative root produces y ≤ 0, equivalent to x ≤ 0 for f(x).

The inverse of f is g(x) = -√(x +6).

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Additional comment

The graph of a function and its inverse are mirror images of each other across the line y=x. This is shown in the attachment for the f(x) and g(x) in this problem.

View image sqdancefan
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