What is the inverse of f(x)=6+sqrt(2x-7) ?

The inverse of f(x)=6+sqrt(2x-7) is (x^2-12x+43)/2

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inverse of f(x)=6+sqrt(2x-7)

inverse

f (x) = 6 + 2 x - 7

\frac{x ^{2} - 12 x + 43}{2}

Solution steps

y = 6 + 2 x - 7

Replace

x

with

y

x = 6 + 2 y - 7

Solve for

y, x = 6 + 2 y - 7

\frac{x ^{2} - 12 x + 43}{2}

y = 5 x - 2

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

f (x) = \frac{x}{3} - 5

f (x) = - t^{2} + 8 t + 2

y = x^{2} + 2

What is the inverse of f(x)=6+sqrt(2x-7) ?
The inverse of f(x)=6+sqrt(2x-7) is (x^2-12x+43)/2