Let f(t) =t^2−1 and g(t) =e^t. (a) Graph f(g(t)) and g(f(t)). (b) Which is larger,f(g(5)) or...

Let f(t) =t^2−1 and g(t) =e^t.

(a) Graph f(g(t)) and g(f(t)).

(b) Which is larger,f(g(5)) or g(f(5))? Justify your answer.

(c) Which is larger, (f(g(5)))′or g(f(5))′? Justify your answer.

Expert Solution

milcah answered 2 years ago

(a) (f ∘ g)(3) (b) g(f(2)) (c) g(f(5)) (d) (f ∘ g)(−3) (e) (g ∘ f)(−1) (f) f(g(−1))

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