Type your answer Evaluate $$ (f \cdot g)(x) $$ if $$ f(x)=3 x^{2} $$ and $$ g(x) $$ $$ =2 x-3 $$ when $$ x=-1 $$

Question

UpStudy AI · Accepted Answer

To evaluate $$ (f \cdot g)(x) $$ at $$ x = -1 $$, we first need to find $$ f(-1) $$ and $$ g(-1) $$.

Given:
- $$ f(x) = 3x^2 $$
- $$ g(x) = 2x - 3 $$

First, we calculate $$ f(-1) $$:

$$
f(-1) = 3(-1)^2 = 3 \cdot 1 = 3
$$

Next, we calculate $$ g(-1) $$:

$$
g(-1) = 2(-1) - 3 = -2 - 3 = -5
$$

Now, we can find $$ (f \cdot g)(-1) $$:

$$
(f \cdot g)(-1) = f(-1) \cdot g(-1) = 3 \cdot (-5) = -15
$$

Thus, the value of $$ (f \cdot g)(-1) $$ is $$\boxed{-15}$$.
$$ (f \cdot g)(-1) = -15 $$

Type your answer Evaluate \( (f \cdot g)(x) \) if \( f(x)=3 x^{2} \) and \( g(x) \) \( =2 x-3 \) when \( x=-1 \)