What is the inverse of f(x)=7+sqrt(5x-9) ?

The inverse of f(x)=7+sqrt(5x-9) is (x^2-14x+58)/5

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inverse of f(x)=7+sqrt(5x-9)

inverse

f (x) = 7 + 5 x - 9

\frac{x ^{2} - 14 x + 58}{5}

Solution steps

y = 7 + 5 x - 9

Replace

x

with

y

x = 7 + 5 y - 9

Solve for

y, x = 7 + 5 y - 9

\frac{x ^{2} - 14 x + 58}{5}

f (x) = - x - 3 + 3

\frac{2 ^{x} + 1}{5 - 2 ^{x}}

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

f (x) = 3 - x + 4

\frac{4 x ^{2} + 7}{4}

What is the inverse of f(x)=7+sqrt(5x-9) ?
The inverse of f(x)=7+sqrt(5x-9) is (x^2-14x+58)/5