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Popular >

inverse of f(x)=4e^x-2

Solution

inverse

f (x) = 4 e^{x} - 2

Solution

ln (\frac{x + 2}{4})

Solution steps

y = 4 e^{x} - 2

Replace

x

with

y

x = 4 e^{y} - 2

Solve for

y, x = 4 e^{y} - 2

ln (\frac{x + 2}{4})

Popular Examples

inverse of f(x)=(7x)/(4x-5)inverse

f (x) = \frac{7 x}{4 x - 5}

inverse of (arcsin(x/3-7/6))/2+(3pi)/2 inverse

\frac{arcsin ( \frac{x}{3} - \frac{7}{6} )}{2} + \frac{3 π}{2}

inverse of tan((7.5)/4)inverse

tan (\frac{7.5}{4})

inverse of f(x)=(x+5)/(4x)inverse

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

inverse of (x^3)/6 inverse

\frac{x ^{3}}{6}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=4e^x-2 ?
The inverse of f(x)=4e^x-2 is ln((x+2)/4)