Answer:
In decimal
[tex] - 2.8[/tex]
As fraction
[tex] \frac{ - 14}{5} [/tex]
And as mixed fraction
[tex] - 2 \frac{4}{5} [/tex]
Step-by-step explanation:
Greetings !
Given expression
[tex]f(x) = \frac{x - 8}{x + 11} [/tex]
Thus, plug in -6 in the variable x and solve
[tex]f( - 6) = \frac{ - 6 - 8}{ - 6 + 11} [/tex]
solve -6-8 = -14
solve -6+11 = 5
[tex] = \frac{ - 14}{5} [/tex]
Apply fraction rule
[tex] \frac{ - a}{b} = - \frac{a}{b} [/tex]
Thus
[tex] = - \frac{14}{5} [/tex]
Convert iimproper fraction to mixed fraction .
[tex] \frac{14}{5} = 2 \: \: remainder \: \: 4[/tex]
[tex]convert \: to \: mixed \: number \\ quotient \frac{remainder}{divisor} [/tex]
whereas
[tex] \frac{14}{5} = 2 \frac{4}{5} [/tex]
[tex] = - 2 \frac{4}{5} [/tex]
Hope it helps !!!
