What is the inverse of f(x)=f(x)= 2/3 x-10 ?

The inverse of f(x)=f(x)= 2/3 x-10 is (3x+30)/2

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inverse of f(x)=f(x)= 2/3 x-10

inverse

f (x) = f (x) = \frac{2}{3} x - 10

\frac{3 x + 30}{2}

Solution steps

y = \frac{2}{3} x - 10

Replace

x

with

y

x = \frac{2}{3} y - 10

Solve for

y, x = \frac{2}{3} y - 10

\frac{3 x + 30}{2}

y = \frac{7 x - 8}{5 x + 1}

e^{x - 2} - 5

f (x) = \frac{1}{2 y - 4}

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

f (x) = \frac{5 x}{9 x - 2}

What is the inverse of f(x)=f(x)= 2/3 x-10 ?
The inverse of f(x)=f(x)= 2/3 x-10 is (3x+30)/2