Question

Given f (x) = – 2x^2 + x -3 and g(x) = - x - 2, find the following:

1. fog (x) , find the domain  f
2. fog (1)
3. gof (x)
4. gof (-2)

Answer 1

The functions are .

To find the

.

Therefore .

.

Substitute the values of x is any real number in the function to obtain different y values. So, the domain of function is all real numbers.

To find the

.

Therefore .

.

The solutions are , the domain of function is all real numbers.