What is the inverse of f(x)=4-4sqrt((3x+2)/(15)) ?

The inverse of f(x)=4-4sqrt((3x+2)/(15)) is (15x^2+208-120x)/(48)

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inverse of f(x)=4-4sqrt((3x+2)/(15))

inverse

f (x) = 4 - 4 \frac{3 x + 2}{15}

\frac{15 x ^{2} + 208 - 120 x}{48}

Solution steps

y = 4 - 4 \frac{3 x + 2}{15}

Replace

x

with

y

x = 4 - 4 \frac{3 y + 2}{15}

Solve for

y, x = 4 - 4 \frac{3 y + 2}{15}

\frac{15 x ^{2} + 208 - 120 x}{48}

f (x) = - x - 7

f (x) = e^{\frac{1}{3} x}

f (x) = \frac{1}{5} x - 10

f (x) = 2 x - 2

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

What is the inverse of f(x)=4-4sqrt((3x+2)/(15)) ?
The inverse of f(x)=4-4sqrt((3x+2)/(15)) is (15x^2+208-120x)/(48)