Find f o g o h.
f(x) = x + 9, g(x) = 3x, h(x) = x − 5
f(g(h))=[3(x-5)]+9
=3(x-5)=0
=3x-15=0
=3x=15
=x=5
f(g(h))=[5]+9
=14
thanks for trying to help but that is incorrect. The correct answer is 3x-6
g(h) = 3h = 3(x-5) = 3x-15
f(g(h)) = g(h)+9 = 3x-15 + 9 = 3x-6
To find f o g o h, we need to first find g o h, and then find f o (g o h).
1. Finding g o h:
To find g o h, we need to substitute h(x) into g(x) and evaluate the resulting expression.
g(x) = 3x
h(x) = x - 5
Substitute h(x) into g(x):
g o h = g(h(x)) = 3(h(x)) = 3(x - 5) = 3x - 15
2. Finding f o (g o h):
Now, we substitute g o h into f(x) and evaluate the resulting expression.
f(x) = x + 9
g o h = 3x - 15
Substitute g o h into f(x):
f o (g o h) = f(g o h) = f(3x - 15) = (3x - 15) + 9 = 3x - 6
Therefore, f o g o h = 3x - 6.