The value of the composite function is option (D) (f ∘ g)( - 1) = - 4.
The functions are given as:
f(x) = x + 1 and g(x) = 5x.
We need to find the composite function:
(f ∘ g)( - 1).
= f (g ( - 1)
Substitute value of g(x):
= f ( 5 ( - 1))
= f ( - 5)
Substitute value of f(x):
= ( - 5 ) + 1
= - 5 + 1
= - 4
Therefore, the value of the composite function is option (D) (f ∘ g)( - 1) = - 4.
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