What is the inverse of f(x)=5+sqrt(6+7x) ?

The inverse of f(x)=5+sqrt(6+7x) is (x^2-10x+19)/7

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inverse of f(x)=5+sqrt(6+7x)

inverse

f (x) = 5 + 6 + 7 x

\frac{x ^{2} - 10 x + 19}{7}

Solution steps

y = 5 + 6 + 7 x

Replace

x

with

y

x = 5 + 6 + 7 y

Solve for

y, x = 5 + 6 + 7 y

\frac{x ^{2} - 10 x + 19}{7}

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

f (x) = \frac{- 7 x - 45}{x + 3}

f (x) = \frac{13 x}{50}

f (x) = \frac{3 x + 9}{x - 8}

y = - x^{2}

What is the inverse of f(x)=5+sqrt(6+7x) ?
The inverse of f(x)=5+sqrt(6+7x) is (x^2-10x+19)/7