Answer:
-11
Step-by-step explanation:
Given :
[tex]f(x) = -\frac{3}{8} \left(24-\frac{32}{x}\right) -x[/tex]
We have to find f ( - 2 ):
Putting x = - 2 in f ( x ) we get :
[tex]f(-2) = -\frac{3}{8} \left(24-\frac{32}{-2}\right) -(-2)\\[/tex]
[tex]\implies f(-2) = -\frac{3}{8} \left(24-( -16)\right) +4 \\[/tex]
[tex]\implies f(-2) = -\frac{3}{8} \left(40\right) +4 \\[/tex]
[tex]\implies f(-2) = -3\times \left(5\right) +4[/tex]
[tex]\implies f(-2) = -15 +4[/tex]
[tex]\implies f(-2) = -11[/tex]
Therefore value of f ( - 2 ) is - 11.
