G(x)=-x^2-1-2x
f(x)=x+5
Find (g-f)(x)

(g-f)(x) is x² - 3x - 6

Step-by-step explanation:

Step 1:

Given g(x) = x² - 1 - 2x, f(x) = x + 5. Find (g-f)(x)

(g-f)(x) = x² - 2x - 1 - (x + 5) = x² - 2x - 1 - x - 5 = x² - 3x - 6

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation: