Inverse to a function?
How do you arrive at this answer? What are the steps?
- L. E. GantLv 74 weeks ago
An inverse is when g(f(x)) = f(g(x)) = x
to get inverse of f(x)
x = 2y + 3
==> 2y = x-3
==> y = (x-3)/2 = h(x)
= 2(h(x)) + 3
= 2(x-3)/2 + 3
= x - 3 + 3
- MichaelLv 74 weeks ago
NOT inverses of each other.
An inverse returns the original function.
"an inverse function is a function that "reverses" another function:
if the function f applied to an input x gives a result of y,
then applying its inverse function g to y gives the result x,
and vice versa, i.e., f(x) = y if and only if g(y) = x."
In other words:
If the function f turns an apple into a banana,
Then the inverse function g turns the banana back to an apple