What is the inverse of f(x)=(1000(1.5-x)^2)/3 ?

The inverse of f(x)=(1000(1.5-x)^2)/3 is -0.05477…sqrt(x)+1.5,0.05477…sqrt(x)+1.5

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inverse of f(x)=(1000(1.5-x)^2)/3

inverse

f (x) = \frac{1000 ( 1.5 - x ) ^{2}}{3}

- 0.05477 \dots x + 1.5, 0.05477 \dots x + 1.5

Solution steps

y = \frac{1000 ( 1.5 - x ) ^{2}}{3}

Replace

x

with

y

x = \frac{1000 ( 1.5 - y ) ^{2}}{3}

Solve for

y, x = \frac{1000 ( 1.5 - y ) ^{2}}{3}

- 0.05477 \dots x + 1.5, 0.05477 \dots x + 1.5

y = lo g_{6} (x)

y = \frac{3 x + 2}{x - 5}

2 sin (\frac{1}{3} x)

f (x) = 4 x^{2} + 28 x + 143

f (x) = 6 x - 13

What is the inverse of f(x)=(1000(1.5-x)^2)/3 ?
The inverse of f(x)=(1000(1.5-x)^2)/3 is -0.05477…sqrt(x)+1.5,0.05477…sqrt(x)+1.5