write a formula f*g*h when f(x)=x+1, g(x)=3x, h(x)=4-x
(x+1)*(3x)*(4-x) = -3x^3 + 9x^2 + 12x
To find the formula for f * g * h, we need to calculate the result of each function (f, g, and h) at x, and then multiply them together.
Given the functions:
f(x) = x + 1
g(x) = 3x
h(x) = 4 - x
Let's proceed step by step.
1. Calculating f(x):
Substitute x into f(x) = x + 1:
f(x) = x + 1
2. Calculating g(x):
Substitute x into g(x) = 3x:
g(x) = 3x
3. Calculating h(x):
Substitute x into h(x) = 4 - x:
h(x) = 4 - x
Now, to determine the formula f * g * h, we multiply these expressions together:
f * g * h = (f(x)) * (g(x)) * (h(x))
= (x + 1) * (3x) * (4 - x)
Expanding this expression further:
f * g * h = (3x)*(4 - x)*(x + 1)
Therefore, the formula for f * g * h is (3x)*(4 - x)*(x + 1).