What is the inverse of f(x)=2ln(3x+2)-4 ?

The inverse of f(x)=2ln(3x+2)-4 is (e^{(x+4)/2}-2)/(3)

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inverse of f(x)=2ln(3x+2)-4

inverse

f (x) = 2 ln (3 x + 2) - 4

\frac{e ^{\frac{x + 4}{2}} - 2}{3}

Solution steps

y = 2 ln (3 x + 2) - 4

Replace

x

with

y

x = 2 ln (3 y + 2) - 4

Solve for

y, x = 2 ln (3 y + 2) - 4

\frac{e ^{\frac{x + 4}{2}} - 2}{3}

tan (x + \frac{π}{2})

(0, 0), (17, 17)

arctan (sec (A))

ln (4 x^{2} + 2 x - 11)

f (x) = lo g_{6} (x + 2) - lo g_{6} (2)

What is the inverse of f(x)=2ln(3x+2)-4 ?
The inverse of f(x)=2ln(3x+2)-4 is (e^{(x+4)/2}-2)/(3)