Let f(x)=x^2-4 and g(x)=3x-4. Find the value, if possible.

Felix Fitzgerald

Felix Fitzgerald

Open question

2022-08-19

Let
f ( x ) = x 2 4
and
g ( x ) = 3 x 4
Find the value, if possible. (If not possible, enter IMPOSSIBLE.)
( f g ) ( 5 )
( f g ) ( 5 ) =

Answer & Explanation

hrikalegt15

hrikalegt15

Beginner2022-08-20Added 11 answers

Step 1
Given that
Left f ( x ) = x 2 4 and g ( x ) = 3 x 4
Find the value, if possible. (If not possible, enter IMPOSSIBLE.)
( f g ) ( 5 ) =
Step 2
Solve
If f ( x ) 2 4 and g ( x ) = 3 x 4
( f g ) ( x ) = f ( x ) g ( x )
= ( x 2 4 ) ( 3 x 4 )
= x 2 4 3 x + 4
= x 2 3 x
Therefore,
( f g ) ( 5 ) = ( 5 ) 2 3 ( 5 )
= 25 + 15
= 40

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