Answer:
g(x) = 2x - 3
Step-by-step explanation:
The inverse of a function is the equation where x and y have switched places. If when you solve for y again, the function passes the vertical line test, the inverse if a function.
g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to y = (x-3)/2. This is a line and is a function y = 1/2 x - 3/2.
k(x) = -9x^2 has the inverse x = -9y^2 which simplifies to . This is a function but only for certain values of x.
f(x) = |x+2| is an absolute value function. All absolute value functions do not have inverses which are functions.
w(x) = -20 does not have an inverse which is a function.
This means A is the solution.
Answer:
Step-by-step explanation:
we know that
The solution of the inequality of the dotted red line is the shaded area above the dotted line
The dotted red line is parallel to the solid gray line
The equation of the solid gray line is equal to ----> given line
The slope of the solid gray line is m=-2
Remember that
If two lines are parallel, then their slopes are the same
therefore
The slope of the dotted red line is m=-2
The y-intercept of the dotted red line is b=2
Find the equation of the dotted red line in slope intercept form
we have
substitute
Remember that the solution is the shaded area above the dotted red line
therefore
Answer:
The equation in standard form is:
x^2-40x-6000 = 0
Step-by-step explanation:
Let the length of the field be x yards.
Now the width of the field is 40 yards less than the length of the field.
Thus, the width of the field would be (x-40) yards
Now, to calculate the area of the field, we simply multiply the length of the field by the width of the field.
Hence;
Since the shape is rectangular, the area is the product of the length and that of the width
x(x-40) =6,000
x^2 -40x = 6,000
x^2-40x-6000 = 0