Question

6. If f(x) = 3x +3 and g(x)=-3+2x, find the rule of the function 2g(x)+2f(x).

Answer 1

Answer:

$10x$

Solution:

If $f(x) = 3x +3$ and $g(x) = -3 +2x$, then $2g(x) +2f(x)$ is:

$2(-3 +2x) +2(3x +3) \\ -6 +4x +6x +6 \\ (-6 +6) +(4 +6)x \\ 0 +10x \\ 10x$