Evaluate functions - Questions

Answers

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 \(-89\).