Question

PLEASE HELP. FUNCTIONS AND RELATIONS. f(x) = 3x^2 + 6x - 5 g(x)= 4x^3 - 5x^2 + 6find (f+g)(x)

Answer 1

Given:

`\begin{gathered} f(x)=3x^2+6x-5 \\ g(x)=4x^3-5x^2+6 \end{gathered}`

Then, (f+g)(x) is:

`\left(f+g\right)\left(x\right)=f(x)+g(x)`

Substitute the equations:

`(f+g)(x)=3x^2+6x-5+4x^3-5x^2+6`

Grouping similar terms:

`4x^3+3x^2-5x^2+6x-5+6`

Simplify:

`4x^3-2x^2+6x+1`

Answer: C.

`(f+g)(x)=4x^3-2x^2+6x+1`