(2√5 + 3(√7))^2
(2√5 + 3(√7))(2√5 + 3(√7))
4*5 + 6√35 + 6√35 + 9*7
20 + 12√35 + 63
20 + 63 + 12√35
83 + 12√35
Answer:

Step-by-step explanation:
So we have the function:

To find the inverse function, switch x and f(x), change f(x) to f⁻¹(x), and solve for f⁻¹(x). Therefore:

Switch:

Add 1 to both sides:

Divide both sides by 6:

And that's our answer :)
We know that the trigonometric identity that uses the adjacent side and the hypotenuse is cosine. We can set this up as:

We need to solve for x, so let's isolate it:

So,
x = 10.2 units
To find the number of days, divide the total swam by the average:
Days = 48 / 3.2 = 15
They swam for 15 days.