Mathematical exercises: Algebra and Functions?

James Jowett

New member
1. Show that the equation (k-1)*x^2 + 2x - (k-3) = 0 has no real roots for all values of k.

2. We know that the coordinates of A are (4/3, 0) and the coordinates of B are (0, -4).
Let O denote the origin. Find the area of triangle OAB.

3. f(x) = x^2 - 6x + 13 for x >= 3 Find the inverse function and state the domain of the inverse function.

4. Two functions are defined as follows: f(x) = x^2 - 4 and g(x) = 1/(3x)
Solve the equation gof(x) = g(x)
 
Back
Top