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Popular >

inverse of f(x)=e^{2x-7}

Solution

inverse

f (x) = e^{2 x - 7}

Solution

\frac{ln ( x ) + 7}{2}

Solution steps

y = e^{2 x - 7}

Replace

x

with

y

x = e^{2 y - 7}

Solve for

y, x = e^{2 y - 7}

\frac{ln ( x ) + 7}{2}

Popular Examples

inverse of f(x)=11x^3-5 inverse

f (x) = 11 x^{3} - 5

shift f(t)=cos(1/2 t+pi/3)-pi/6 shift

f (t) = cos (\frac{1}{2} t + \frac{π}{3}) - \frac{π}{6}

range of f(x)=csc(x)range

f (x) = csc (x)

inverse of ln(e^x-3)inverse

ln (e^{x} - 3)

slope of (5.5)-1/4 slope

(5.5) - \frac{1}{4}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=e^{2x-7} ?
The inverse of f(x)=e^{2x-7} is (ln(x)+7)/2