Question

Find the inverse function f(x)=e^(2x-1)

Answer 1

let y = e^(2x-1)
now express x in terms of y.
can u?
then just replace y with x.

Answer 2

how do you express x in terms of y on this one

Answer 3

@hartnn the math lover....are inverse functions expressed as y = ?

Answer 4

take natural log on both sides.
ln y = ln (e^(2x-1))

Answer 5

now what hart

Answer 6

u know the property of log, ln a^b = b ln a ??

Answer 7

@lgbasallote this is how they teach us, to replace the f(x) with y then solve for x, then switch them when done

Answer 8

this is why i hate math...too many rules

Answer 9

im rusty with logs hartnn

Answer 10

if u know then ln(e^(2x-1)) = (2x-1) ln e
and ln of e =1
because the base of ln is also e.

Answer 11

so u have ln y = 2x-1
now can u find x in terms of y ??

Answer 12

i will explain let f(x)=y
then, y= e^(2x-1), the most important thing is inverse function is symmetry to y=x so you can replace y to the x and x to the y
so given funtion is arraged by x=e^(2y-1)
by the rule y=e^x <=> lny=x
lnx=2y-1
so answer is (lnx + 1)/2 = y

Answer 13

perfect thanks guys

Answer 14

ok, welcome :)

Answer 15

ok, welcome :)