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

The inverse of f(x)=sqrt(4-(2x)/3) is -(3x^2-12)/2

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

inverse

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

- \frac{3 x ^{2} - 12}{2}

Solution steps

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

Replace

x

with

y

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

Solve for

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

- \frac{3 x ^{2} - 12}{2}

f (x) = \frac{x + 5}{x - 7}

f (x) = \frac{1}{2} x - \frac{3}{4}

f (x) = 7 e^{2 x}

\frac{x ^{2}}{x ^{2} - 4}

f (x) = \frac{( 1 + 2 x )}{7 + x}

What is the inverse of f(x)=sqrt(4-(2x)/3) ?
The inverse of f(x)=sqrt(4-(2x)/3) is -(3x^2-12)/2