find:

h(x) ^ -1

of h(x) = 9x +13

Question

find:

 h(x) ^ -1

of h(x) = 9x +13

rock_mit182 · Answer

x = 9y +13
x-13 = 9y
$$y = \-frac{ x }{ 9 } - \frac{ 13 }{ 9 }$$

rock_mit182 · Answer

@iPwnBunnies @SolomonZelman  @ganeshie8

rock_mit182 · Answer

find:$$(h ° h ^{-1} )$$

rock_mit182 · Answer

h ( x/9 - 13/ 9)

rock_mit182 · Answer

(h ° h ^-1 ) = (9x +13)/(9) - (13)/(9)

rock_mit182 · Answer

(h ° h ^-1)(5) = (9(5)+13)/(9) - 13/9

rock_mit182 · Answer

anyone could check my work out ?

anonymous · Answer

Where'd the x go?

anonymous · Answer

Oh... I see... carry on :)

anonymous · Answer

I'm watching you... anxiously waiting for you to slip up... and you haven't... yet ;)

rock_mit182 · Answer

(h ° h ^-1)(5 ) = 5

rock_mit182 · Answer

h(x )^ -1 = x/9 - 13/9

rock_mit182 · Answer

there you have, my two answers

anonymous · Answer

Very good. Now, pro-tip, if you're like me and don't like wasting precious time on things that are actually so simple, just remember the very essence of inverses... 
$$\Large\left( f\circ f^{-1}\right)(x) = x$$
It won't even matter how complicated or hard the function is... if you compose a function with its inverse, it does NOTHING :D

So, next time you see anything like it, say
$$\Large \left( h\circ h^{-1}\right)(9)$$
don't hesitate, the answer is 9!!!!!!

^_^

rock_mit182 · Answer

lol thanks a lot dude, nice tip