She would need to score 16 correct answers, because 80/5 = 16.
The composition of a function and its inverse is x. So an easy approach to solve this question is to find the composition of a function with itself. If the composition results in an answer "x", then this will mean that function and its inverse are the same.
Finding the composition for 1st option:
Since the composition of the function with itself is not x, the function and its inverse are not the same.
Similarly, we can find the compositions of next 3 functions with themselves. The results of compositions are listed below:
(gog)(x)=g(g(x)) = x
(hoh)(x)=h(h(x))=
(kok)(x)=k(k(x))= x
Thus the option 2 and 4 are the correct answers i.e. these functions are the same as their inverse functions.
Answer: 2=x
Explanation:3x+4=7x-4
-3x -3x
4=4x-4
+4 +4
8=4x
(divide each side by 4)
2=x
Answer:
Step-by-step explanation:
For it to bisect the segment, we need to find the midpoint.
The midpoint is
Now, for it to be perpendicular, we need to use the fact that perpendicular lines have slopes that are negative reciprocals of each other.
The slope of the given segment is , so the slope of the perpendicular bisector is
Thus, the equation of the line in point-slope form is
Since <span>y = x2 - 8x + 12 is a quadratic equation, it is the same of y=ax²+bx+c
the main formula of the vertex is x= -b/2a, and y=f(-b/2a)
for our case x= -(-8) / 2=4, and f(4)= -4
the answer is </span><span>B. (4, -4)</span>