If f(x) = 4x + 3 and g(x) = 5 − 3x, find f(g(2)) and g(f(2)). f(g(2)) = g(f(2)) =

Question

(a) If
f(x) = 4x + 3 and g(x) = 5 − 3x, find f(g(2)) and g(f(2)).
f(g(2))=

g(f(2))=

Answer 1

f(2) = 4*2+3 = 11

g(2) = 5 - 3(2) = 5-6 = -1

 

f(g(2)) = f(-1) = 4(-1) + 3 = -4 +3 = -1

 

g(f(2)) = g(11) = 5 - 3(11) = 5 - 33 = -28