3 years ago

PLEASE HELP I'M TIMED

Mathematics

1 answer:

DedPeter [7]3 years ago

4 0

Really hope i'm right

1st row

the first one is length less than 10

one next to it is width greater than 5

next to that is length greater than 10

2nd row

the first one is length greater than 10

one next to that is width less than 5

next to that is width greater than 5

3rd row

first one is width less than 5

and last is length less than 10

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If f(x) =69-15x then f(f^-1(x))

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If f(x)=69-15x then $f(f^{-1}(x))=x$

Given :

$f(x)=69-15x\\$

Lets find out $f^{-1}(x)$ . The steps to find out f inverse are

Replace f(x) by y

$y=69-15x\\Interchange \; the \; variables\\x=69-15y\\solve \; for \; y\\x-69=-15y\\Divide \; by \; -15\\\frac{-x+69}{15} =y\\Replace \;y \;with \; f^{-1}\\f^{-1}=\frac{-x+69}{15}$

Now we find $f(f^{-1}(x))$

Replace inverse function in the place of x in f(x)

$f(f^{-1}(x))=f(\frac{-x+69}{15} )=69-15(\frac{-x+69}{15})=69-(-x+69)=69+x-69=x\\f(f^{-1}(x))=x$

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