f(t)=-t+4 g(t)=2t+1 Find (fcdot g)(-6) 7 -26 -110 9 Clear my selection

To find \((f \cdot g)(-6)\), we need to first determine the expressions for \(f(t)\) and \(g(t)\) at \(t = -6\), then multiply these values together.<br /><br />Given:<br />\[ f(t) = -t + 4 \]<br />\[ g(t) = 2t + 1 \]<br /><br />First, calculate \(f(-6)\):<br />\[ f(-6) = -(-6) + 4 = 6 + 4 = 10 \]<br /><br />Next, calculate \(g(-6)\):<br />\[ g(-6) = 2(-6) + 1 = -12 + 1 = -11 \]<br /><br />Now, multiply these results to find \((f \cdot g)(-6)\):<br />\[ (f \cdot g)(-6) = f(-6) \cdot g(-6) = 10 \cdot (-11) = -110 \]<br /><br />Therefore, the correct answer is \(-110\).