Question

[ Let f ( x ) ] = [ 3 x 2 + 2 x ] , [ g ( x ) ] = [ 3 x + 9 ] , [ h ( x ) ] = [ 12 + x ] , [ What is f ( g ( 3 ) ) ? ] [ Let f ( x ) ] = [ 3 x 2 + 2 x ] , [ g ( x ) ] = [ 3 x + 9 ] , [ h ( x ) ] = [ 12 + x ] , [ What is f ( g ( 3 ) ) ? ]

Answer 1

The value of f(g(3) = 1,008

Explanation:

Step:-1

Given f(x) =
`3 x ^ 2 + 2 x`

and g(x) = 3x+9

h(x) = 12+x

Given g(x) = 3x+9

put x =3

g(3) = 3(3)+9

g(3) = 18

Step :-(2)

f(g(3)) = f(18)

f(g(3) = 3(18)^2 +2(18) (since f(x) =
`3 x ^ 2 + 2 x`)

= 1,008

Final answer:-

The value of f(g(3) = 1,008