I need help solving this problem, can anyone do a step by step guide on how to do this?
Find F-1(X), then state whether F-1(X) is a function.
(The small -1 and 2 represent the powers)
1) F(X) = X2 + 3
(Can you also explain why it is a function?)
as i said, you can do the vertical line test on the graphs. if any vertical line cuts the graph only once, it is a function.
also, try to see if each x gives only one y. it is almost clear that these functions do.
for instance, how do we know that x^2 + y^2 = 1 is not a function. because for x = 0, the value of the function can be +1 or -1. so we have one x giving two values.