What is the inverse of f(x)=((x+2))/((3x-1)) ?

The inverse of f(x)=((x+2))/((3x-1)) is (2+x)/(3x-1)

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inverse of f(x)=((x+2))/((3x-1))

inverse

f (x) = \frac{( x + 2 )}{( 3 x - 1 )}

\frac{2 + x}{3 x - 1}

Solution steps

y = \frac{x + 2}{3 x - 1}

Replace

x

with

y

x = \frac{y + 2}{3 y - 1}

Solve for

y, x = \frac{y + 2}{3 y - 1}

\frac{2 + x}{3 x - 1}

3 x - y = - 1

(0.8) (6.16)

1 + (8 + x)^{\frac{1}{2}}

f (x) = 6 x - 4

(3, - 2), (- 7, - 2)

What is the inverse of f(x)=((x+2))/((3x-1)) ?
The inverse of f(x)=((x+2))/((3x-1)) is (2+x)/(3x-1)