Answer:
Choice A.
Step.-by-step explanation:
y=√x
y=x² -1
Substituting the values in choice A:
1.2 = √1.5 = 1.2247 Approximately equal.
1.2 = (1.5)^2 - 1 = 1.25 Approximately equal.
Choice B.
-1.2 = √-1.5 which is imaginary so NOT this one.
Choice C
-1.2 = √1.5 = -1.2247
-1.2 = (1.5)^2 - 1 = 1.25 NO.
Choice D
We have the non real value √-1.5 again so NOT this one.
Answer: Option A
A.(1.5,1.2)
Step-by-step explanation:
We have the following system of equations
[tex]y=\sqrt{x}[/tex]
[tex]y=x^2 -1[/tex]
the solution of the system will be all points that satisfy both equations at the same time
For (1.5,1.2)
[tex]y=\sqrt{1.5}=1.2[/tex]
[tex]y=(1.5)^2 -1=1.2[/tex]
Both equations are satisfied
Note that we can discard options B and D because the domain of the equation [tex]y =\sqrt{x}[/tex] does not include the negative numbers.
We can discard option C because the range of the function [tex]y =\sqrt{x}[/tex] does not include the negative numbers.
Finally the answer is the option A