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

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

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

inverse

f (x) = \frac{ln ( x + 2 )}{2} - \frac{3}{4}

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

Solution steps

y = \frac{ln ( x + 2 )}{2} - \frac{3}{4}

Replace

x

with

y

x = \frac{ln ( y + 2 )}{2} - \frac{3}{4}

Solve for

y, x = \frac{ln ( y + 2 )}{2} - \frac{3}{4}

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

f (x) = 4 x^{7} - 1

f (x) = - (x + 1)^{2} + 25

11 - 5 x^{3}

\frac{7}{4 + x}

\frac{x ^{3} + 3 x ^{2} - 9 x - 2}{x - 2}

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