Given that fx 4x 8 and gx 7 x2 calculate fg 0 gf0 Soluti
Given that f(x) = 4x - 8 and g(x) = 7 - x^2, calculate f(g{ 0)) g(f(0))
Solution
f(x) = 4x -8 g(x) = 7 - x^2
a) f(g(x)) ; plug x= g(x) in f(x)
f( g(x) ) = 4(7 -x^2) - 8 = 28 -4x^2 -8 = 20 -4x^2
x=0; f( g(0) ) = 20 -4(0) = 20
b) g(f(0)) :
find g(f(x)) : plug x= f(x) in g(x)
g ( f(x) ) = 7 - (4x-8)^2
g( f(0) ) = 7 - (-8)^2 = -1
