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Popular >

inverse of f(x)=e^{5x-1}

Solution

inverse

f (x) = e^{5 x - 1}

Solution

\frac{ln ( x ) + 1}{5}

Solution steps

y = e^{5 x - 1}

Replace

x

with

y

x = e^{5 y - 1}

Solve for

y, x = e^{5 y - 1}

\frac{ln ( x ) + 1}{5}

Popular Examples

inverse of f(x)=2-x^2,x>= sqrt(3),x<= 2 inverse

f (x) = 2 - x^{2}, x \geq 3, x \leq 2

inverse of 5/(s+2)inverse

\frac{5}{s + 2}

inverse of f(x)=(8x+1)^2 inverse

f (x) = (8 x + 1)^{2}

inverse of 1/((x+1)^2)+2 inverse

\frac{1}{( x + 1 ) ^{2}} + 2

inverse of s/(s^2+2s+10)inverse

\frac{s}{s ^{2} + 2 s + 10}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=e^{5x-1} ?
The inverse of f(x)=e^{5x-1} is (ln(x)+1)/5