if ( f(x)=3x + 2 ) and ( g(x)=x^{2}-x ), find the value.\n( g(-6)=)

if ( f(x)=3x + 2 ) and ( g(x)=x^{2}-x ), find the value.\n( g(-6)=)

if ( f(x)=3x + 2 ) and ( g(x)=x^{2}-x ), find the value.\n( g(-6)=)

Answer

Explanation:

Step1: Substitute (x = - 6) into (g(x))

Given (g(x)=x^{2}-x), when (x=-6), we have (g(-6)=(-6)^{2}-(-6))

Step2: Calculate ((-6)^{2})

((-6)^{2}=(-6)\times(-6) = 36)

Step3: Calculate (-(-6))

(-(-6)=6)

Step4: Perform the subtraction

(g(-6)=36 + 6)

Answer:

(42)