What is the inverse of f(x)=sqrt(7x+6)+12 ?

The inverse of f(x)=sqrt(7x+6)+12 is (x^2-24x+138)/7

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inverse of f(x)=sqrt(7x+6)+12

inverse

f (x) = 7 x + 6 + 12

\frac{x ^{2} - 24 x + 138}{7}

Solution steps

y = 7 x + 6 + 12

Replace

x

with

y

x = 7 y + 6 + 12

Solve for

y, x = 7 y + 6 + 12

\frac{x ^{2} - 24 x + 138}{7}

f (x) = - 6 x - 3 g (x) = \frac{1}{- 6} (x - 3)

f (x) = \frac{1.5}{( 1 + 0.15 \cdot 10 )}

f (x) = 3 + 8 x

What is the inverse of f(x)=sqrt(7x+6)+12 ?
The inverse of f(x)=sqrt(7x+6)+12 is (x^2-24x+138)/7