Which function is the inverse of f(x) = 2x + 3?

Question

asked Oct 6, 2020 181k views

1 Answer

Asherlc · Answer 1 · 2020-10-10T21:33:10+0000

Answer:

y=(x-3)/(2)

Explanation:

The given function is

f(x)=2x+3

To find the inverse of this function, we have to replace
f(x) for
, and then isolate
, as follows

$y=2x+3\\y-3=2x\\2x=y-3\\x=(y-3)/(2)$

Then, we have to switch variables, as follows

y=(x-3)/(2)

Therefore, the inverse of the given function is

y=(x-3)/(2)

The graph attached shows both functions. The blue line is the inverse of
f(x)