Can someone please help me with this math problem? Thanks.
Let g(x)=x^2-5 and h(x)=3x+2. Perform the function operation.
-2g(x)+h(x)
That would be
-2x^2 +10 + 3x +2 = -2x^2 + 3x +12.
oh, thanks! I understand.
I have another problem I'm unsure of.
g(x)*h(x)
I got 9x^2+12x-1 as the answer. Is that right?
no
you will have to multiply the two functions
that is,
(x^2-5)*(3x+2)
expand and simplfy
3x^3+2x^2-15x-10?
No, that is not correct. Let's go through the process step by step to find the correct answer.
To perform the multiplication of two functions, g(x) = x^2 - 5 and h(x) = 3x + 2, we need to distribute each term of g(x) to each term of h(x).
So, we have:
g(x) * h(x) = (x^2 - 5) * (3x + 2)
Using the distributive property, we can simplify this expression by multiplying each term of g(x) by each term of h(x):
= x^2 * 3x + x^2 * 2 - 5 * 3x - 5 * 2
= 3x^3 + 2x^2 - 15x - 10
Therefore, the correct answer is 3x^3 + 2x^2 - 15x - 10.
I hope this clarifies the process of multiplying two functions for you!