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