Answer:
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
