What is the inverse of f(x)=-2sqrt(1/5 x+1)+3 ?

The inverse of f(x)=-2sqrt(1/5 x+1)+3 is (5(x^2+9))/4-(15x)/2-5

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inverse of f(x)=-2sqrt(1/5 x+1)+3

inverse

f (x) = - 2 \frac{1}{5} x + 1 + 3

\frac{5 ( x ^{2} + 9 )}{4} - \frac{15 x}{2} - 5

Solution steps

y = - 2 \frac{1}{5} x + 1 + 3

Replace

x

with

y

x = - 2 \frac{1}{5} y + 1 + 3

Solve for

y, x = - 2 \frac{1}{5} y + 1 + 3

\frac{5 ( x ^{2} + 9 )}{4} - \frac{15 x}{2} - 5

\frac{2}{x ^{3}}

\frac{1}{t}

sin (3 X)

4^{x + 1} - 2

y = \frac{3}{4} x - 5

What is the inverse of f(x)=-2sqrt(1/5 x+1)+3 ?
The inverse of f(x)=-2sqrt(1/5 x+1)+3 is (5(x^2+9))/4-(15x)/2-5