What is the inverse of f(x)=(5x-3)+(-8x+6)+(-1+9x) ?

The inverse of f(x)=(5x-3)+(-8x+6)+(-1+9x) is (x-2)/6

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inverse of f(x)=(5x-3)+(-8x+6)+(-1+9x)

inverse

f (x) = (5 x - 3) + (- 8 x + 6) + (- 1 + 9 x)

\frac{x - 2}{6}

Solution steps

y = 5 x - 3 - 8 x + 6 - 1 + 9 x

Replace

x

with

y

x = 5 y - 3 - 8 y + 6 - 1 + 9 y

Solve for

y, x = 5 y - 3 - 8 y + 6 - 1 + 9 y

\frac{x - 2}{6}

\frac{1}{2} x + 5

f (x) = 3^{x - 2} - 9

f (x) = 51206

f (x) = \frac{( 7 x + 8 )}{4 x - 7}

What is the inverse of f(x)=(5x-3)+(-8x+6)+(-1+9x) ?
The inverse of f(x)=(5x-3)+(-8x+6)+(-1+9x) is (x-2)/6