Rewrite the function in the form of g(x)=a/x-h+k
1. g(x)=7x+17/x+2

2. g(x)=5x-7/x-3

Step-by-step explanation:

hello :

the form :  g(x)=a/(x+h)+k

1 )  g(x)=7x+17/x+2 :

you can write : 7x+17 = 7(x+2)+3

so : g(x) =(7(x+2)+3)/(x+2) = 7(x+2)/(x+2) +3/(x+2)

g(x) = 7+ 3/(x+2)    or g(x) = 3/(x+2) +7 compare with g(x)=a/(x+h)+k

a=3  and k=7  and h=2

2)   g(x)=5x-7/x-3 :

you can write same method for 1   here is other method :

g(x)=a/(x-h)+k = (a+k(x-h))/(x-h)

g(x) = (kx+a-kh)/(x-h)     h=3

so : k=5 and  a-kh = -7

a-(5)(3)=-7       a = 8

g(x) =8/(x-3) +5

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: