Identifying Functions

1. $g = -2$

To find the output,$g$, we need to substitute $3$ into the equation for $r$.

$\begin{aligned} g &=-5 r+13 \\ g &=-5 \cdot 3+13 \\ &=-15+13 \\ &=-2 \end{aligned}$

When the input is $3$, the output is $-2$.

2. $g = -43$

To find the output, $b$, we need to substitute $6$ into the equation for $a$.

$\begin{aligned} b &=-1-7 a \\ b &=-1-7 \cdot 6 \\ &=-1-42 \\ &=-43 \end{aligned}$

When the input is $6$, the output is $-43$.

3. $g = 22$

To find the output, $y$, we need to substitute $5$ into the equation for $x$.

$\begin{aligned} y &=5 x-3 \\ y &=5 \cdot 5-3 \\ &=25-3 \\ &=22 \end{aligned}$

When the input is $5$, the output is $22$.

4. $g = -89$

To find the output, $k$, we need to substitute $-7$ into the equation for $t$.

$\begin{aligned} k &=10 t-19 \\ k &=10 \cdot-7-19 \\ &=-70-19 \\ &=-89 \end{aligned}$

When the input is $-7$, the output is $-89$.