what is the value of f(f(-2))?

Question

for all x, let f(x) be defined by f(x)=x^2+2x+3

Answer 1

Hi, Annie.

 

Okay, first find f(-2):

 

f(x) = x² + 2x + 3

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

 

Now, plug in 3 into f(x) which will give you f(f(-2))

 

f(3) = 9 + 6 + 3 = 18