Question

f(x) +1/f(x) equal to​

Answer 1

Answer:

Using the formulas from above, we can start with x=4:

f(4) = 2×4+3 = 11

We can then use the inverse on the 11:

f-1(11) = (11-3)/2 = 4

And we magically get 4 back again!

We can write that in one line:

f-1( f(4) ) = 4

"f inverse of   f of 4   equals 4"

So applying a function f and then its inverse f-1 gives us the original value back again:

f-1( f(x) ) = x

We could also have put the functions in the other order and it still works:

f( f-1(x) ) = x

Example:

Start with:

f-1(11) = (11-3)/2 = 4

And then:

f(4) = 2×4+3 = 11

So we can say:

f( f-1(11) ) = 11

"f of   f inverse of 11   equals 11"

Step-by-step explanation:

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