consider the equations:f(x)=-6x-1 and g(x)=4x^2 Select the solution for (f+g)(x)
A) -6x-1+4x^2
B) -24x^3 - 4X^2
C) -24x^2 - 1
D) -6X -1 - 24X^2
I think the answer is A. Please help
f(x) + g(x)
-6x -1 + 4x^2
correct
you are correct
To find the solution for (f+g)(x), we need to add the two given equations f(x) and g(x). The first equation f(x) = -6x - 1 and the second equation g(x) = 4x^2.
To add f(x) and g(x), we simply add the corresponding terms. So the sum of -6x and 4x^2 is 4x^2 - 6x. Then, we add the constant terms -1 and 0.
Therefore, the solution for (f+g)(x) is:
(f+g)(x) = -6x - 1 + 4x^2
Now let's compare this with the given answer choices:
A) -6x - 1 + 4x^2 --> This matches the computed solution.
B) -24x^3 - 4x^2 --> This is not the same as the computed solution.
C) -24x^2 - 1 --> This is not the same as the computed solution.
D) -6x - 1 - 24x^2 --> This is not the same as the computed solution.
Therefore, the correct answer is A) -6x - 1 + 4x^2.