What is the inverse of f(x)=8+sqrt(5x-3) ?

The inverse of f(x)=8+sqrt(5x-3) is (x^2-16x+67)/5

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inverse of f(x)=8+sqrt(5x-3)

inverse

f (x) = 8 + 5 x - 3

\frac{x ^{2} - 16 x + 67}{5}

Solution steps

y = 8 + 5 x - 3

Replace

x

with

y

x = 8 + 5 y - 3

Solve for

y, x = 8 + 5 y - 3

\frac{x ^{2} - 16 x + 67}{5}

f (x) = e^{- 2 x - 1}

f (x) = 2^{y}

1 - e^{2 x}

y

\frac{2 s - 5}{s ^{2} + 4}

What is the inverse of f(x)=8+sqrt(5x-3) ?
The inverse of f(x)=8+sqrt(5x-3) is (x^2-16x+67)/5