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Popular >

inverse of f(x)=e^{4x-7}

Solution

inverse

f (x) = e^{4 x - 7}

Solution

\frac{ln ( x ) + 7}{4}

Solution steps

y = e^{4 x - 7}

Replace

x

with

y

x = e^{4 y - 7}

Solve for

y, x = e^{4 y - 7}

\frac{ln ( x ) + 7}{4}

Popular Examples

inverse of f(x)=3log_{5}(7x-4)inverse

f (x) = 3 lo g_{5} (7 x - 4)

monotone f(x)=x^4+8x^3+16x^2 monotone intervals

f (x) = x^{4} + 8 x^{3} + 16 x^{2}

periodicity of f(x)=sin(7x)periodicity

f (x) = sin (7 x)

range of f(x)=(-2-7x)/(3x-1)range

f (x) = \frac{- 2 - 7 x}{3 x - 1}

asymptotes of f(x)=(1+x^4)/(x^2-x^4)asymptotes

f (x) = \frac{1 + x ^{4}}{x ^{2} - x ^{4}}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=e^{4x-7} ?
The inverse of f(x)=e^{4x-7} is (ln(x)+7)/4