The value of the inverse function at x = 32 will be 16. Then the correct option is D.
<h3>What is a function?</h3>
A statement, principle, or policy that creates the link between two variables is known as a function.
The function is given below.
f(x) = 2x
Then the inverse function of the f(x) will be
2f⁻¹(x) = x
f⁻¹(x) = x / 2
Then the value of the inverse function at x = 32 will be
f⁻¹(32) = 32 / 2
f⁻¹(x) = 16
Then the correct option is D.
More about the function link is given below.
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Area is a squared number. We know that from the label we use when we solve problems involving area. Perimeter is a single unit label. This single unit label can also be used to find scale factor, since single unit labels are one-to-one. If the area of polygon F is 36, that means that the single unit measure was a number that was squared to get to the area. Same goes for polygon G. That means that in order to find the single unit measure of each of those we have to take the square root of the area. The square root of 36 is 6, and the square root of 4 is 2. 6:2 is the scale factor, but that can be reduced to 3:1, larger to smaller.
Answer:
Step-by-step explanation:
We have been given that point A has the coordinates(2,5) point B has the coordinates (6,17).
To find the length of segment AB we will use distance formula.
Upon substituting coordinates of point A and point B in distance formula we will get,
Therefore, the length of segment AB is .
Answer:I got 18.28
Step-by-step explanation:
so for getting the perimeter, you only need the outer line, so you sum the measurements you have for the rectangle: 1+2+2+7= 12. After that you need the circumference of the circle, you can figure it out by using the formula C = 2pi(r) You can find the radius by substracting the known sides of the rectangle attached to the circle from the bottom base and then dividing it in 2, leaving us with a radius of 2. Then we input values; C=2pi(2) which equals 4pi, but we need to divide that in half since it’s only half a circle. That leaves us with 2pi, or 6.28. Then we add the perimeter of the square, which was 12, and 6.28+12= 18.28
Answer:
There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555
Step-by-step explanation:
Given the functions:
f(x) = x² + 4x + 10
g(x) = -32x - 40
we want to find the points at which f(x) = g(x).
x² + 4x + 10 = -32x - 40
x² + 4x + 10 + 32x + 40 = 0
x² + 36x + 50 = 0
Using quadratic formula:
