Let f(x)=x+2 and g(x)=x^2. Find (g o f)(-5)
(g o f)(x)
= g(f(x))
= g(x+2)
= (x+2)^2
sub in x = -5
To find (g o f)(-5), you need to first find the composition of functions g and f, denoted as g o f.
The composition of two functions g and f is given by (g o f)(x) = g(f(x)). So, to find (g o f)(-5), you'll need to substitute f(x) = x+2 into g(x) = x^2.
Step 1: Let's find f(-5)
To find f(-5), plug -5 into the function f(x) = x+2.
f(-5) = (-5) + 2
f(-5) = -3
Step 2: Now substitute f(-5) = -3 into the function g(x) = x^2.
(g o f)(-5) = g(f(-5))
(g o f)(-5) = g(-3)
Step 3: Compute g(-3)
To find the value of g(-3), substitute -3 into the function g(x) = x^2.
g(-3) = (-3)^2
g(-3) = 9
Therefore, (g o f)(-5) = g(f(-5)) = g(-3) = 9.