The functions $$ f $$ and $$ g $$ are defined as follows. $$ f(x)=4 x-1 \quad g(x)=3 x^{3}+5 $$ Find $$ f(-7) $$ and $$ g(-4) $$. Simplify your answers as much as possible. $$ f(-7)=\square $$

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UpStudy AI · Accepted Answer

Let's evaluate each function at the given points.

1. **Evaluating $$ f(-7) $$:**
   $$
   f(-7) = 4(-7) - 1 = -28 - 1 = -29
   $$
   $$
   f(-7) = -29
   $$

2. **Evaluating $$ g(-4) $$:**
   $$
   g(-4) = 3(-4)^3 + 5
   $$
   First, calculate $$(-4)^3$$:
   $$
   (-4)^3 = -64
   $$
   Now, substitute back:
   $$
   g(-4) = 3(-64) + 5 = -192 + 5 = -187
   $$
   $$
   g(-4) = -187
   $$

**Final Answers:**
$$
f(-7) = -29
$$
$$
g(-4) = -187
$$
$$ f(-7) = -29 $$ and $$ g(-4) = -187 $$.

The functions \( f \) and \( g \) are defined as follows. \[ f(x)=4 x-1 \quad g(x)=3 x^{3}+5 \] Find \( f(-7) \) and \( g(-4) \). Simplify your answers as much as possible. \[ f(-7)=\square \]

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