F(x)=3x−4g(x)=−x2+2x−5h(x)=2x2+1j(x )=6x2−8xk(x)=3x2−x+7 Calculate (fh)(x).

( f h ) (x)  = 6 x² - 1

Step-by-step explanation:

Step(i):-

Given f(x)   =  3 x - 4

         g (x)  = −x²+2 x−5

        h (x)  = 2 x² + 1

         j (x)    = 6 x + 2 - 8 x

        K (x)   = 3 x² - x + 7

Step(ii):-

( f h ) (x) = f ( h (x)) = f ( 2 x² + 1 )

                            =  3 (2 x² + 1 ) - 4

                            =  3 ((2 x² ) + 3 - 4

                           =   6 x² - 1

Final -

∴ ( f h ) (x)  = 6 x² - 1

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !