What is the inverse of f(x)=-4+4/5 sqrt(x+4) ?

The inverse of f(x)=-4+4/5 sqrt(x+4) is (25x)/2+(25x^2)/(16)+21

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inverse of f(x)=-4+4/5 sqrt(x+4)

inverse

f (x) = - 4 + \frac{4}{5} x + 4

\frac{25 x}{2} + \frac{25 x ^{2}}{16} + 21

Solution steps

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

Replace

x

with

y

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

Solve for

y, x = - 4 + \frac{4}{5} y + 4

\frac{25 x}{2} + \frac{25 x ^{2}}{16} + 21

What is the inverse of f(x)=-4+4/5 sqrt(x+4) ?
The inverse of f(x)=-4+4/5 sqrt(x+4) is (25x)/2+(25x^2)/(16)+21