Question

how do u read this and what does it mean?
for function y(x) it holds that at (x,y) = (1,y(1))

Answer 1

that means when x=1 , y=y(1)

Answer 2

for example pretend y=2x+1
y is a function of x so i will write y=y(x)
y(x)=2x+1
when x=1 we have y=y(1)
so replace x with 1 to find y(1)
y(1)=2(1)+1
y(1)=2+1
y(1)=3
so this means when x=1 we have y=y(1)=3

Answer 3

you know you might have seen (x,y)=(x,f(x)) before

Answer 4

instead of calling y f
we could also just call it y

Answer 5

thnx man!