What is the inverse of f(x)=-5sqrt(x-3)+4 ?

The inverse of f(x)=-5sqrt(x-3)+4 is (x^2-8x+16)/(25)+3

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inverse of f(x)=-5sqrt(x-3)+4

inverse

f (x) = - 5 x - 3 + 4

\frac{x ^{2} - 8 x + 16}{25} + 3

Solution steps

y = - 5 x - 3 + 4

Replace

x

with

y

x = - 5 y - 3 + 4

Solve for

y, x = - 5 y - 3 + 4

\frac{x ^{2} - 8 x + 16}{25} + 3

f (x) = \frac{1}{y}

f (x) = (x - 8)^{2} + 2

sin (\frac{120}{240 2})

f (x) = 16 sin (7 x)

\frac{x ^{3}}{6} + 6

What is the inverse of f(x)=-5sqrt(x-3)+4 ?
The inverse of f(x)=-5sqrt(x-3)+4 is (x^2-8x+16)/(25)+3