If f(x)=-*2 + 3x +5 and g(x) = x2 + 2x, which graph shows the graph of (f + 9)(x)?

Question

asked Sep 19, 2024 123k views

1 Answer

Schodge · Answer 1 · 2024-09-26T17:08:03+0000

If
$\displaystyle\sf f(x)=-2x+3x+5$ and
$\displaystyle\sf g(x)=x^(2)+2x$ , we need to find the graph of
$\displaystyle\sf (f+9)(x)$ .

To find
$\displaystyle\sf (f+9)(x)$ , we add 9 to the function
$\displaystyle\sf f(x)$ . So we have:

$\displaystyle\sf (f+9)(x)=-2x+3x+5+9$

Simplifying this expression, we get:

$\displaystyle\sf (f+9)(x)=x+14$

Therefore, the graph of
$\displaystyle\sf (f+9)(x)$ is a straight line with a slope of 1 and y-intercept at 14.