Can someone explain my equations to me, please?
f(x)= 9x^3 + 2x^2 - 5x + 4 and g(x) = 5x^3 - 7x + 4.
what is f(x)β g(x)?
they are asking you to subtract g(x) from f(x)
subtract the "like" terms in the equations
Thanks
Sure! To find f(x) - g(x), we need to subtract the expression for g(x) from f(x).
First, let's write out the equations for f(x) and g(x):
f(x) = 9x^3 + 2x^2 - 5x + 4
g(x) = 5x^3 - 7x + 4
To find f(x) - g(x), we subtract each corresponding term from f(x) with the term from g(x):
f(x) - g(x) = (9x^3 + 2x^2 - 5x + 4) - (5x^3 - 7x + 4)
Next, we can simplify the expression by combining like terms:
f(x) - g(x) = 9x^3 + 2x^2 - 5x + 4 - 5x^3 + 7x - 4
Now, look for terms with the same exponent of x, and combine them:
f(x) - g(x) = (9x^3 - 5x^3) + 2x^2 - 5x + 7x + 4 - 4
This simplifies to:
f(x) - g(x) = 4x^3 + 2x^2 + 2x
So, the expression for f(x) - g(x) is 4x^3 + 2x^2 + 2x.