Functions questions | form three Basic Mathematics

1. A function is defined by f(x)=x²-2, Find

1. The inverse, f^-1(x) of this function.
2. The value of f^-1(-2).
3. The domain of f^-1(x)

2. Rewrite |2x+3|<7 without the solute value sign and hence sketch a graph of the resulting inequality.

Answer / Solution

UNSOLVED

The function f is defined as follows:

1. Sketch the graph of  f(x)
2. Use the graph to determine the domain and range of f(x).

Answer / Solution

UNSOLVED

1. The function  f is defined as follows

1. Sketch the graph of (fx)
2. Use the graph to determine the domain and range of f(x).

Answer / Solution

UNSOLVED

Given the function

1. Find the minimum point of f(x).
2. Find the x and y intercepts.
3. Determine the axis of symmetry of f(x).
4. Draw the graph of f(x) using the results in part(i)-(iii) and use it to indicate the solution of the equation .
5. Find the domain and range of f(x).

Answer / Solution

UNSOLVED

Suppose a function f is defined by , find the domain and range of the inverse of the function f.

Answer / Solution

UNSOLVED