Composite Functions

Composite Functions

Let A = B = C = { x | x is a real number}. Let f$f:A rightarrow B  f$ andg$f:B rightarrow C f$ be defined as follows:

f$f(a) = a - 1f$ andf$g(b) = b^{2}f$

Compute the following:

(a)f$(fcirc g)(2)f$

(b)f$(gcirc f)(2)f$

(c) f$(gcirc f)(x)f$

(d) f$(fcirc g)(x)f$

(e) f$(fcirc f)(y)f$

(f) f$(gcirc g)(y)f$