Question

1. Given f(x)=2x 2 +1 and g(x)=3x-5 find the following

Answer 1

The value of the function 1) f -g = 2x² - 3x + 6 and 2) f(g(2)) is 3.

Here the two functions are given, f(x) and g(x).

f(x) = 2x² + 1

g(x) = 3x - 5

We have to find f-g and f(g(2)).

1) f- g

f(x) - g(x)

(2x² + 1) - ( 3x - 5)

2x² + 1 - 3x + 5

2x² - 3x + 6

2) f(g(2))

f(g(x)) = 2(3x-5)² + 1

         = 2( 9x² - 30x + 25) + 1

         = 18x² - 60x + 50 + 1

         = 18x² - 60x + 51

f(g(2)) = 18(2)² - 60(2) + 51

          =18× 4 - 120 + 51

          = 72 - 120 + 51

          = 123 - 120

          = 3

Therefore the value of f-g is 2x²- 3x + 6 and the value of f(g(2)) is 3.

To know more about the function refer to the link given below:

brainly.com/question/11624077

#SPJ4