If f(x-1) = x\(^3\) + 3x\(^2\) + 4x - 5, find f(2)

The length of the line joining points (x,4) and (-x,3) is 7 units. Find the value of x.

A binary operation * is defined on the set T = {-2,-1,1,2} by p*q = p\(^2\) + 2pq - q\(^2\), where p,q ∊ T.
Copy and complete the table.

Solve \(2^{(2y+1)} - 5(2^y) + 2\) = 0
 

Two functions f and g are defined on the set of real numbers, R, by

f:x → x\(^2\) + 2 and g:x → \(\frac{1}{x+2}\).Find the domain of (g∘f)\(^{-1}\)