Question

True or False f(x)=-2x-9 is f^1(x) = - x + 9
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2

Answer 1

We have
\[ f(x)=-2x-9)\]
We have to find \(f^{-1} (x)\)
Let's substitute \(x=f^{-1} (x)\)
We'll get
\[f(f^{-1} (x))=-2f^{-1} (x)-9\]
We know that
\[ f(f^{-1} (x))=x\]
so
\[x=-2f^{-1} (x) -9\]
or
\[f^{-1} (x)= -\frac{x+9}{2}\]
Hence true

Answer 2

Thank you thank you thank you

Answer 3

Welcome,Did you understand?:)

Answer 4

yessir

Answer 5

Don't be formal, We're all friends here:)

Answer 6

Okay (: