Answer:
3
x
6
+
x
5
−
x
4
−
6
x
3
+
x
2
+
3
x
−
1
Step-by-step explanation:
simp
Answer:
9, y=9
Step-by-step explanation:
So, there is one thing we always need to remember to find the y intercept.
This is that the y intercept can always be found on the middle line of the graph, when x is at 0.
What we must do is look at the graph, look at where the function hits x=0, and see what the y value is.
In this case, when x equals 0, we can see that y is 9.
So the y intercept is 9.
Hope this helps! :D
Answer:
1/3
Step-by-step explanation:
-6+(-1/3)= -19/3
-19/3 + 20/3 = 1/3
Answer:
Step-by-step explanation:
(w circle r) (x) is the composite function(w of r(x)), that is, w(r(x))[/tex]
We have that:
Composite function:
is a negative parabola with vertex at the original.
So the range(the values that y assumes), is:
Answer:
- f^-1(x) = (3/8)(x +1) . . . . as written
- f^-1(x) = (x +5)/(3x -1) . . . with appropriate parentheses
Step-by-step explanation:
The inverse function can be found by solving for y:
x = f(y)
x = y + 5/3y -1 . . . . . . . . . . y +(5/3)y -1 . . . per order of operations
x+1 = 8/3y . . . . . . . . . . add 1
(3/8)(x +1) = y . . . . . . . . multiply by 3/8
f^-1(x) = (3/8)(x +1) . . . . . inverse of the function as written
_____
Perhaps you intend f(x) = (x+5)/(3x-1). The inverse is found the same way.
x = (y +5)/(3y -1)
x(3y -1) = y +5
3xy -x = y +5 . . . . . eliminate parentheses
3xy -y = x + 5 . . . . . add x-y
y(3x -1) = x +5 . . . . . factor out y
y = (x +5)/(3x -1) . . . divide by the coefficient of y
f^-1(x) = (x +5)/(3x -1) . . . . inverse of rational function
