What is the inverse of f(x)=6.75sqrt(x)+12 ?

The inverse of f(x)=6.75sqrt(x)+12 is (16x^2)/(729)-(128x)/(243)+256/81

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inverse of f(x)=6.75sqrt(x)+12

inverse

f (x) = 6.75 x + 12

\frac{16 x ^{2}}{729} - \frac{128 x}{243} + \frac{256}{81}

Solution steps

y = 6.75 x + 12

Replace

x

with

y

x = 6.75 y + 12

Solve for

y, x = 6.75 y + 12

\frac{16 x ^{2}}{729} - \frac{128 x}{243} + \frac{256}{81}

5 - x^{2}, x \geq 0

f (x) = (x - 4)^{2} - 1, x \geq 4

f (x) = sin (16 - x^{2})

sin (\frac{2}{6})

f (x) = x^{2} - 4 x - 16

What is the inverse of f(x)=6.75sqrt(x)+12 ?
The inverse of f(x)=6.75sqrt(x)+12 is (16x^2)/(729)-(128x)/(243)+256/81