What is the inverse of f(x)=e^{2*(5x+3)} ?

The inverse of f(x)=e^{2*(5x+3)} is (ln(x)-6)/(10)

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inverse of f(x)=e^{2*(5x+3)}

inverse

f (x) = e^{2 \cdot (5 x + 3)}

\frac{ln ( x ) - 6}{10}

Solution steps

y = e^{2 (5 x + 3)}

Replace

x

with

y

x = e^{2 (5 y + 3)}

Solve for

y, x = e^{2 \cdot (5 y + 3)}

\frac{ln ( x ) - 6}{10}

f (x) = 4 - x^{2}, - 2 \leq x < 0

\frac{1}{x + 7}

y = \frac{5}{2} x - 4

f (x) = x - 5 + 9

f (x) = lo g_{10} (x - 8) + 7

What is the inverse of f(x)=e^{2*(5x+3)} ?
The inverse of f(x)=e^{2*(5x+3)} is (ln(x)-6)/(10)