What is the inverse of f(x)=300(1-(2x)/(75))^2 ?

The inverse of f(x)=300(1-(2x)/(75))^2 is -(5sqrt(3)sqrt(x)-150)/4 ,-(-5sqrt(3)sqrt(x)-150)/4

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inverse of f(x)=300(1-(2x)/(75))^2

inverse

f (x) = 300 (1 - \frac{2 x}{75})^{2}

- \frac{5 3 x - 150}{4}, - \frac{- 5 3 x - 150}{4}

Solution steps

y = 300 (1 - \frac{2 x}{75})^{2}

Replace

x

with

y

x = 300 (1 - \frac{2 y}{75})^{2}

Solve for

y, x = 300 (1 - \frac{2 y}{75})^{2}

- \frac{5 3 x - 150}{4}, - \frac{- 5 3 x - 150}{4}

f (x) = lo g_{5 x} (6)

y = \frac{3}{2}

lo g_{\frac{2}{3}} (x - 1)

8 - 3 x

+ y = e^{5 x}

What is the inverse of f(x)=300(1-(2x)/(75))^2 ?
The inverse of f(x)=300(1-(2x)/(75))^2 is -(5sqrt(3)sqrt(x)-150)/4 ,-(-5sqrt(3)sqrt(x)-150)/4