F (x) = 4x 3 - x 2 + 1 and g (x) = x - 1, evaluate f (g (2)).

Let f (x) = x^2 - 1 and g (x) = x^2 - 2, for x has the domain of all real numbers

a. Show that (f ° g) (x) = x^4 - 4x^2 + 3.

Do we plug g (x) into f (x) ? how do we show that?

b. How could I sketch the graph of (f ° g) (x), for 0 is < or equal to x < or equal to 2.25.

Should I plug it into my calculator and just copy that?

c. The equation (f ° g) (x) = k has exactly two solutions, for x < or equal to x < or equal to 2.25. Find the possible values of k.