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

The inverse of f(x)=4+sqrt(2x-3) is (x^2-8x+19)/2

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

inverse

f (x) = 4 + 2 x - 3

\frac{x ^{2} - 8 x + 19}{2}

Solution steps

y = 4 + 2 x - 3

Replace

x

with

y

x = 4 + 2 y - 3

Solve for

y, x = 4 + 2 y - 3

\frac{x ^{2} - 8 x + 19}{2}

y = \frac{5 x ^{2}}{2}

f (x) = ln (x^{2} - 2)

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

f (y) = 3 x^{2} + x

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

What is the inverse of f(x)=4+sqrt(2x-3) ?
The inverse of f(x)=4+sqrt(2x-3) is (x^2-8x+19)/2