Suppose f(x -2) = $$x^2+2x-3$$ , find f(-1)

How many integral solutions does $$\frac{1}{x}+\frac{1}{y}=\frac{1}{6}$$ have?

A regular hexagon is perfectly fit inside the circle with area of 25 $$\pi$$ .

Find the area of the hexagon.

In acute angle ABC, AB = 12, BC = 16 and AC = 20. Find $$\frac{\sin A}{\sin B}$$

Find the shortest distance between the point (3, 4) and the line 20x + 20y - 28 = 0

Find the maximum value of 12sinx + 16cosx + 2026

Find the value of the expression $$3\ +\ \frac{130}{3\ +\ \frac{130}{3\ +\ \frac{130\ }{3\ +\ ...}}}$$

Given real number x and x >0. If $$x\ +\ \frac{1}{x}=1679,\ find\ \sqrt[]{x}+\frac{1}{\sqrt[]{x}}$$

Find the inverse of $$f\left(x\right)=\frac{x+3}{5}$$