Let f(x) = x + 2 and g(x) = x2 Find ( g o f)(-5)
A.
-3
B.
9
C. 49
D.
-10
B?
(gof)(x) = g(f) = f^2 = (x+2)^2
(gof)(-5) = (-5+2)^2 = (-3)^2 = 9
B is correct. Good work.
Thank you !
To find (g o f)(-5), we need to evaluate the composition of the functions g(x) and f(x) at -5.
First, let's find f(-5):
Since f(x) = x + 2, we substitute -5 in place of x:
f(-5) = -5 + 2 = -3
Next, let's find g(f(-5)):
Since g(x) = x^2, we substitute -3 in place of x:
g(-3) = (-3)^2 = 9
Therefore, (g o f)(-5) = 9.
So, the correct answer is B. 9.