How do you find $(g + f) (t)$ $(g+f)(t)$ given $g (t) = 2 t + 5$ $g(t)=2t+5$ and $f (t) = - t^{2} + 5$ $f(t)=-t^2+5$ ?

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Answer 1 · 2017-01-18T01:28:39

Add the two separate functions.
$g (t) + f (t) = 2 t + 5 + (- t^{2} + 5) = - t^{2} + 2 t + 10$ $g(t) + f(t) = 2t + 5 + (−t^2+5) = −t^2 + 2t +10$

How do you find (g+f)(t)(g+f)(t) given g(t)=2t+5g(t)=2t+5 and f(t)=−t2+5f(t)=-t^2+5?