Question

find:

h(x) ^ -1

of h(x) = 9x +13

Answer 1

x = 9y +13
x-13 = 9y
\[y = \-frac{ x }{ 9 } - \frac{ 13 }{ 9 }\]

Answer 2

@iPwnBunnies @SolomonZelman @ganeshie8

Answer 3

find:\[(h ° h ^{-1} )\]

Answer 4

h ( x/9 - 13/ 9)

Answer 5

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

Answer 6

(h ° h ^-1)(5) = (9(5)+13)/(9) - 13/9

Answer 7

anyone could check my work out ?

Answer 8

Where'd the x go?

Answer 9

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

Answer 10

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

Answer 11

(h ° h ^-1)(5 ) = 5

Answer 12

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

Answer 13

there you have, my two answers

Answer 14

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!!!!!!

^_^

Answer 15

lol thanks a lot dude, nice tip