Question 42289
for the given funtions f and g, find
(a) (f o g)(4)    (b)(f o g)(2)     (c)(f o f)(1)
f(x)=2x; g(x)=3-1/2x^2

solution:
(a) g(4)= 3-1/2(4)^2
        = 3- 1 / 32
        = 2{{{(31)/(32)}}}
so, (f o g)(4)= f[g(4)]
              = f[2{{{(31)/(32)}}}]
              = 2 x [2{{{(31)/(32)}}}]
              = 5{{{(15)/(16)}}}
(b)g(2)= 3-1/2(2)^2
       = 3-1/8
       = 2{{{(7)/(8)}}}
so,(f o g)(2)= f[g(2)]
             = f[2{{{(7)/(8)}}}]
             = 2 x 2{{{(7)/(8)}}}
             = 5{{{(3)/(4)}}}
(c)f(1)= 2(1)=2
so, (f o f)(1)= f[f(1)]
              = f[2]
              = 2(2)
              = 4