The functions $$ f $$ and $$ g $$ are defined as follows. $$ f(x)=3 x+2 \quad g(x)=-3 x^{2}-2 $$ Find $$ f(-3) $$ and $$ g(3) $$ Simplify your answers as much as possible.

Question

UpStudy AI · Accepted Answer

To find $$ f(-3) $$ and $$ g(3) $$, we'll substitute the given values into the respective functions.

1. **Calculating $$ f(-3) $$:**
   $$
   f(x) = 3x + 2
   $$
   Substitute $$ x = -3 $$:
   $$
   f(-3) = 3(-3) + 2 = -9 + 2 = -7
   $$

2. **Calculating $$ g(3) $$:**
   $$
   g(x) = -3x^2 - 2
   $$
   Substitute $$ x = 3 $$:
   $$
   g(3) = -3(3)^2 - 2 = -3(9) - 2 = -27 - 2 = -29
   $$

**Final Answers:**
$$
f(-3) = -7 \quad \text{and} \quad g(3) = -29
$$
$$ f(-3) = -7 $$ and $$ g(3) = -29 $$.

The functions \( f \) and \( g \) are defined as follows. \[ f(x)=3 x+2 \quad g(x)=-3 x^{2}-2 \] Find \( f(-3) \) and \( g(3) \) Simplify your answers as much as possible.

Real Tutor Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Algebra Questions