Question

F(x)=5x-3 find the x intercepts

Answer 1

x intercept is where the line crosses the x axis or where y=0
y=f(x) so
0=5x-3
solve
add 3
3=5x
divide by 5 both sides
3/5=x

the x intercept is at x=3/5 or at the point (3/5,0)

Answer 2

Your answer should be:
(3/5,0)