Question

This is a system of equations:

F(x) = x^2 for x less than/equal to 0
ax + b for x > 0


the function above has an inverse function for which of the following values of a and b

1: a= -1, b= -2
2: a= -1. b= 2
3: a= 0, b= -1
4: a= 1. b= -2
5: a=1, b=2

help!

Answer 1

i think the function deos not have inverse function only for number 3 ( a= 0, b= -1)
because if a = 0, the function for x>0 which is f(x) = ax+b will be f(x) = b
that means the function f(x) will only have one value, which is b.
in other words, if a = 0, there will be no x variable in that function, so the value of the function will be constant, so there will be no inverse function.
so i think number 1,2,4,5 are right