Question

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

Answer 1

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