Question

5. Given f ( x ) = x2 and g ( x ) = x + 1 , find (f○g)(x) and (g○f)(x)

Answer 1

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Explanation:

Answer 2

Answer:
`= ( x^2) + 1`

Explanation:

NOTE: Any restrictions on the domains of f or g must be taken into account when performing these operations.

Composition is another operation that may be performed among functions. Simply stated, it is evaluating one function in terms of another. The format for composition is: (f ○g)(x) = f(g(x)).

Step 1. Find (f ○ g)(x)

`Since (fo g)(x) = f( g(x) ), then`

`= f( x + 1 )\\ = ( x + 1 )^2`

Step 2. Find (g ○ f)(x)

`Since (g of)(x) = g( f(x) ), then`

`= g ( x^2 )\\ = ( x^2) + 1`