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.
| * | -2 | -1 | 1 | 2 |
| -2 | 7 | -8 | ||
| -1 | 2 | -2 | ||
| 1 | -7 | 1 | ||
| 2 | -1 |
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)\(^{-1}\)
