Mi az f (x) = -1n (x-2) inverze?

Mi az f (x) = -1n (x-2) inverze?
Anonim

Válasz:

#COLOR (fehér) xxFT ^ -1 (x) = e ^ -x + 2 #

Magyarázat:

#COLOR (fehér) xxFT (x) = - ln (x-2) #

# => Y = -ln (x-2) #

# => Ln (x-2) = - y #

# => X-2 = e ^ -y #

# => X-2color (piros) (+ 2) = e ^ -ycolor (piros) (+ 2) #

# => F ^ -1 (x) = e ^ -x + 2 #