Thread: help me please

given: f(x) = x squared + 2 and g(x) = [x + 5]...find f(g(pi -5))

please explain how to do this. thanks

Originally Posted by ilovemath15

given: f(x) = x squared + 2 and g(x) = [x + 5]...find f(g(pi -5))

please explain how to do this. thanks

f(x) = x^2 + 2

g(x) = x + 5

f(g(x)) = f(x + 5)

f(g(x)) = (x + 5)^2 + 2

f(g(x)) = x^2 + 10x + 27

(Pi - 5)^2 + 10*(Pi - 5) + 27

= Pi^2 + 2