Answer:
The discriminant of f is 92, and it has no real zeros
Step-by-step explanation:
The discriminant of a quadratic is 
, where the quadratic is in the form 
. The discriminant of this one is therefore:
Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!
Answer:
<u>Question 1</u>
The function 
is one-to-one, so it does have an inverse.
The inverse of +6 is -6, so 
Therefore, g(x) is the inverse of f(x).
<u>Question 2</u>
The function 
is one-to-one, so it does have an inverse.
To find the inverse, replace f(x) with y:
Rearrange the equation to make x the subject:
Replace x with 
and y with x:
Therefore, g(x) is the inverse of f(x).
D. If you were to graph this, the vertex would be at (9/8,101/4), or (1.13,25.25).
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side (or else, it can't be a closed polygon). Since we know that the two sides in question are both of the same length in this case (since the triangle isosceles), their individual lengths must be greater than 25/2 = 12.5.
Answer:
x = 420/11
Step-by-step explanation:
