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Popular >

inverse of f(x)=3^{-x}

Solution

inverse

f (x) = 3^{- x}

Solution

- \frac{ln ( x )}{ln ( 3 )}

Solution steps

y = 3^{- x}

Replace

x

with

y

x = 3^{- y}

Solve for

y, x = 3^{- y}

- \frac{ln ( x )}{ln ( 3 )}

Popular Examples

range of f(x)=(x^2+4)/x range

f (x) = \frac{x ^{2} + 4}{x}

perpendicular y= 3/4 x+3,(3,-3)perpendicular

y = \frac{3}{4} x + 3, (3, - 3)

monotone (x-2)^2(x-1)monotone intervals

(x - 2)^{2} (x - 1)

inverse of f(x)=-1 inverse

f (x) = - 1

domain of f(x)=(5x+3)/(4x-1)domain

f (x) = \frac{5 x + 3}{4 x - 1}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=3^{-x} ?
The inverse of f(x)=3^{-x} is -(ln(x))/(ln(3))