Question

If f : R → R and g : R → R are defined by f(x) = 2x² + 3 and g(x) = 3x - 2 then find i. (fog) (x) ii. (gof) (x)iii. go(fof) (3).

Answer 1

HELLO DEAR,

Answer:

Step-by-step explanation:

GIVEN:- f(x) = 2x² + 3 and g(x) = 3x - 2

Now, ( 1 ) (fog)(x)

=> f{g(x)}

=> f{3x - 2)}

=> 2(3x - 2)² + 3

=> 2(9x² + 4 - 12x) + 3

=> 18x² + 8 - 24x + 3

=> 18x² - 24x + 11

( 2 ) (gof)(x)

=> g{f(x)}

=> g(2x² + 3)

=> 3(2x² + 3) - 2

=> 6x² + 9 - 2

=> 6x² + 7

( 3 ) . go(fof)(3)

=> go[f{f(3)}]

=> go{f(21)}

=> g{885}

=> 3(885) - 2

=> 2655 - 2

=> 2653

I HOPE IT'S HELP YOU DEAR,

THANKS