Question - Adding Functions
Solution:
The question is asking to find the sum of the functions $$f(x)$$ and $$g(x)$$. To do this, we simply add the corresponding terms from each function.Given:$$f(x) = -3x^2 + 5$$$$g(x) = 3x^2 + 2x + 1$$Adding $$f(x) + g(x)$$, we align the like terms and add them:$$-3x^2 + 5$$ (From $$f(x)$$)$$+ 3x^2 + 2x + 1$$ (From $$g(x)$$)Now, add the like terms:$$-3x^2 + 3x^2$$ (These terms cancel each other out)$$+ 2x$$ (Only term with $$x$$, so it remains as is)$$+ 5 + 1$$ (Adding the constant terms)So we are left with:$$2x + 6$$Therefore, the sum of $$f(x)$$ and $$g(x)$$ or $$f + g$$ is $$2x + 6$$. The correct answer is:A) $$2x + 6$$
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com