Given the function: f(x) = x2 – 2x How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function? x ≥ 0; f Superscript negative 1 Baseline (x) = 1 + StartRoot x + 1 EndRoot x ≥ 1; f Superscript negative 1 Baseline (x) = 1 + StartRoot x + 1 EndRoot x ≥ 0; f Superscript negative 1 Baseline (x) = 1 minus StartRoot x + 1 EndRoot x ≥ 1; f Superscript negative 1 Baseline (x) = 1 minus StartRoot x + 1 EndRoot

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  (b)  x ≥ 1; f⁻¹(x) = 1+√(x+1)

Step-by-step explanation:

We can find the inverse function by solving for y:

  x = f(y)

  x = y² -2y

  x +1 = y² -2y +1

  x +1 = (y -1)²

  √(x +1) = y -1

  1 +√(x +1) = y

So, the inverse function is ...

For this, the root will be non-negative, so the minimum value of this function is 1. That is, the minimum value of x for which the original function has this as an inverse is 1.

The domain restriction is x ≥ 1.

The inverse function is f⁻¹(x) = 1+√(x+1)

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2