g(t)=-2t+5 h(t)=t-2 Find (g-h)(2) -120 -36 -91

To find \((g-h)(2)\), we first need to determine the expression for \((g-h)(t)\).<br /><br />Given:<br />\[ g(t) = -2t + 5 \]<br />\[ h(t) = t - 2 \]<br /><br />The function \((g-h)(t)\) is defined as:<br />\[ (g-h)(t) = g(t) - h(t) \]<br /><br />Substitute the expressions for \(g(t)\) and \(h(t)\):<br />\[ (g-h)(t) = (-2t + 5) - (t - 2) \]<br /><br />Simplify the expression:<br />\[ (g-h)(t) = -2t + 5 - t + 2 \]<br />\[ (g-h)(t) = -3t + 7 \]<br /><br />Now, evaluate \((g-h)(2)\):<br />\[ (g-h)(2) = -3(2) + 7 \]<br />\[ (g-h)(2) = -6 + 7 \]<br />\[ (g-h)(2) = 1 \]<br /><br />Therefore, the value of \((g-h)(2)\) is \(1\). None of the provided options \(-120\), \(0\), \(-36\), or \(-91\) match this result.