Question

Let ƒ(x) = x + 1 and g(x) = 5x. Evaluate the composition (ƒ ∘ g)(–1).

Answer 1

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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