Consider the following functions. f(x) = 4x^2 + 5, g(x) = 6x Find (f circ g)(x) , (g circ f)(x), f(g(-3)),g(f(4))

Ralzereep9h

Ralzereep9h

Answered question

2022-10-21

Consider the following functions.
f ( x ) = 4 x 2 + 5 ,   g ( x ) = 6 x
Find ( f g ) ( x )       ,       ( g f ) ( x )       ,       f ( g ( 3 ) )       ,       g ( f ( 4 ) )

Answer & Explanation

Szulikto

Szulikto

Beginner2022-10-22Added 22 answers

Step 1
Find ( f g ) ( x )
( f g ) ( x ) = f ( g ( x ) ) = f ( 6 x ) = 4 ( 6 x ) 2 + 5 = 4 ( 36 x 2 ) + 5 = 144 x 2 + 5 Find  ( g f ) ( x ) ( g f ) ( x ) = g ( f ( x ) ) = g ( 4 x 2 + 5 ) = 6 ( 4 x 2 + 5 ) = 24 x 2 + 30 Find  f ( g ( 3 ) ) f ( g ( 3 ) ) = f ( 6 ( ( 3 ) ) = f ( 18 ) = 4 ( 18 ) 2 + 5 = 4 ( 324 ) + 5 = 1296 + 5 = 1301 Find  g ( f ( 4 ) ) g ( f ( 4 ) ) = g ( 4 ( 4 ) 2 + 5 ) = g ( 4 ( 16 ) + 5 ) = g ( 64 + 5 ) = g ( 69 ) = 6 ( 69 ) = 414

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?