The function g is given by g(x)=−2(x+2)−6. which of the following expresses the value of g(b−5)?

D. -2b

Step-by-step explanation:

g(x)=−2(x+2)−6

given that x = b-5  ---> substitute this into the equation

g(b-5) = −2((b-5)+2)−6

= −2(b-5+2)−6

= −2(b-3)−6

= −2b-3(-2)−6

= −2b+6−6

= -2b

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

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step-by-step explanation: