b) f(x) = x2 + x - 1, g(x) = ctgx
In this case, f(x) = x2 + x - 1 and g(x) = ctgx.
Therefore, the composition of the two functions, denoted as (f ∘ g)(x), is given by:
(f ∘ g)(x) = f(g(x))
= f(ctgx)
= (ctgx)2 + ctgx - 1
= ctc^2(x) + ctc(x) - 1
Thus, (f ∘ g)(x) = ctc^2(x) + ctc(x) - 1.
b) f(x) = x2 + x - 1, g(x) = ctgx
In this case, f(x) = x2 + x - 1 and g(x) = ctgx.
Therefore, the composition of the two functions, denoted as (f ∘ g)(x), is given by:
(f ∘ g)(x) = f(g(x))
= f(ctgx)
= (ctgx)2 + ctgx - 1
= ctc^2(x) + ctc(x) - 1
Thus, (f ∘ g)(x) = ctc^2(x) + ctc(x) - 1.