How to find (fog)(x) given f(x)=x^2+7 and g(x)=x-3?

Marin Mills

Marin Mills

Answered question

2023-03-25

How to find ( f o g ) ( x ) given f ( x ) = x 2 + 7 and g ( x ) = x - 3 ?

Answer & Explanation

uwafundebz3v

uwafundebz3v

Beginner2023-03-26Added 8 answers

Explanation:
Given: f ( x ) = x 2 + 7 and g ( x ) = x - 3
To find f ( g ( x ) ) , we substitute x - 3 for every x that we see in f ( x ) :
f ( g ( x ) ) = ( x - 3 ) 2 + 7
Although we are technically finished, it would be better to simplify the right side:
f ( g ( x ) ) = x 2 - 6 x + 9 + 7
f ( g ( x ) ) = x 2 - 6 x + 16 the answer

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