Answer:
C. x = -1 ; x ~8.1
Step-by-step explanation:
First we graph 
Here we have x+2 under the square root. x+2>=0, x>=-2
So we take some x values greater than -2 and find out f(x) to make a table for graphing
x f(x)
-2 
-1 -4
2 -5
Graph it and extent the graph
Now we graph 
Given equation is in the form of g(x) = a|x-h| + k
where (h,k) is the vertex
here h= 3 and k = 4, so vertex is (3,4)
Now make a table, pick some numbers for x less than and greater than vertex
x y
-1 
0 
3 4
6 -2
Both graphs are attached below
The graph of f(x) and g(x) interests at x= -1 and x=8.1
If f(X)= 7x +5/3 - x =6x +5/3
y= 6x +5/3
6x= y-5/3
f^-1(y)=x=(y-5/3)/6
So we can write
f(f^-1(y))= f((y-5/3)/6) = 6 (y-5/3)/6 +5/3= y-5/3+5/3= y
The same result can be obtained for f^-1(f(x))=x
If the function is f(x)= 7x +5/(3-x) then it is not invertible since it is not injective (pictures)
Answer:
Yes. She has enough paint.
Step-by-step explanation:
Her walls combined are approximately 100m
and 1 tin covers 169m of a wall because 13 × 13 is 169.
but she only needs 100, so she will have enough.
the remaining amount of pains she has left is 407 because she still has two time left.
two tins of paint = 338m of paint used on walls then add the remaining from the used Tim which is 69. That'll be 407.
I hope you understand
y=2x+6
y=2x+2
Solve y=2x+6 for y
Substitute 2x+6 for y in y=2x+2
y=2x+2
2x+6=2x+2
Add -2x to both sides
2x+6-2x= 2x+2-2x
6=2
Add -6 to both sides
6-6=2-6
0=-4
No Solution
Answer:
option 2, 4, and 5 are correct.
Step-by-step explanation:
180 - (20+30) = 180 - 50 = 130
Obtuse triangle is a triangle that has one angle that is more than 90 degrees and all the sides have different lengths since all the angles are different.