If f(x)=2x-5 and g(x)=x^2-3, what is (g o f)(x)?

Eliza Berry

Eliza Berry

Answered question

2023-03-03

If f ( x ) = 2 x 5 and g ( x ) = x 2 3 , what is (g o f)(x)?

Answer & Explanation

Kiara Rollins

Kiara Rollins

Beginner2023-03-04Added 6 answers

In order to solve (g o f)(x) for f ( x ) = 2 x - 5 and g ( x ) = x 2 - 3 , the f(x) function must be substituted into the g(x) function.
(g o f)(x) = ( 2 x - 5 ) 2 - 3
(g o f)(x) = ( 2 x - 5 ) ( 2 x - 5 ) - 3
by FOIL (First Outer Inner Last)
( 2 x 5 ) ( 2 x 5 ) = ( 2 x ) ( 2 x ) 10 x 10 x + 25
4 x 2 - 20 x + 25
(g o f)(x) = 4 x 2 - 20 x + 25 - 3
(g o f)(x) = 4 x 2 - 20 x + 22

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