What is the inverse of f(x)=6x+sqrt(x+37) ?

The inverse of f(x)=6x+sqrt(x+37) is (12x+1+sqrt(24x+5329))/(72),(12x+1-sqrt(24x+5329))/(72)

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inverse of f(x)=6x+sqrt(x+37)

inverse

f (x) = 6 x + x + 37

\frac{12 x + 1 + 24 x + 5329}{72}, \frac{12 x + 1 - 24 x + 5329}{72}

Solution steps

y = 6 x + x + 37

Replace

x

with

y

x = 6 y + y + 37

Solve for

y, x = 6 y + y + 37

\frac{12 x + 1 + 24 x + 5329}{72}, \frac{12 x + 1 - 24 x + 5329}{72}

What is the inverse of f(x)=6x+sqrt(x+37) ?
The inverse of f(x)=6x+sqrt(x+37) is (12x+1+sqrt(24x+5329))/(72),(12x+1-sqrt(24x+5329))/(72)