6. The Martians ask you to explain one last thing, Ultimate Math Ambassador. They ask you to create a new function, h(x). Then assign any number to x. Using complete sentences, explain whether f(h(x)) and h(f(x)) will always result in the same number. You will use the function f(x) that you created in problem number 2.

my function f(x) = 1 - x + x2 if it works

Question

6.	The Martians ask you to explain one last thing, Ultimate Math Ambassador. They ask you to create a new function, h(x). Then assign any number to x. Using complete sentences, explain whether f(h(x)) and h(f(x)) will always result in the same number. You will use the function f(x) that you created in problem number 2.

my function f(x) = 1 - x + x2 if it works

tkhunny · Answer

There is no single function that is a complete inverse of this f(x).  Prove it!

anonymous · Answer

um

anonymous · Answer

how would i do this sry i suck at math :(

tkhunny · Answer

Is f(x) a 1-to-1 function?

Prove "function" by the vertical line test.
Prove "1-to-1" by the horizontal line test.

Find a single value of f(x) that comes from two different values of x.  Personally, I might try x = 0 and x = 1.

Stop sucking.  Take the needed time to think, get a clear head, and start to put things together.

anonymous · Answer

ok thx