Question

Given that f(x)=x2-3x+3 and g(x)=x-1/4 find f(g(5))

Answer 1

f(g(5)) = 181/16

Explanation:

f(x)=x2-3x+3

g(x)=x-1/4

so we have:

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

f(g(5)) = (5-1/4)2 - 3(5-1/4)+3

f(g(5)) = (19/4)2 -3(19/4) +3

f(g(5)) = 361/16 - 57/4 +3

f(g(5)) = 181/16