Find the domain and range of the INVERSE of the given function. Square root x-3

Mathematics

1 answer:

Ulleksa [173]3 years ago

4 0

$f(x)=\sqrt{x-3}\\
y=\sqrt{x-3}\\
y^2=x-3\\
x=y^2+3\\
f^{-1}(x)=x^2+3\\
D:x\in\matxbb{R}\\
R:y\in\langle3,\infty)$

You might be interested in

Due in 5 mins!! FIND THE MISSING LENGTHS!!!!!

meriva

Since the shape is a square the sides are equal. Then we need to find x such that x * x = 169.
Sqrt(169) = 13
So x = 13

8 0

3 years ago

A standard dartboard has a diameter of 18 in. What is its area to the nearest square inch?

Reptile [31]

The meaning of the area is the measurement of a surface in this case a circle, which can be find by using the formula $A= \pi r^{2}$ , where r is equal to the radius of the circle.

In this exercise is given that the diameter of a standard cardboard is 18 inches or a radius of 9 inches and it is asked to find its area. Therefore, to find the area of the circle you should substitute the value of the radius into the previous mention formula.

$A= \pi r^{2}$
$A= \pi (9 in)^{2}$
$A= \pi (81 in^{2})$
$A=254.47 in^{2}$

The area of the standard dartboard is 254.47 square inches or 254 square inches.

8 0

3 years ago

Item 32 On three 150-point geography tests, you earned grades of 88%, 94%, and 90%. The final test is worth 250 points. What per

stira [4]

97.2% on the final.
Find the total amount of points needed to get a 93%. 150+150+150+250 = 700 total points. 700*.93 = 651 total points needed to get 93%. find the points received from the other quizzes and subtract the sum from 651 to find how many points need to be scored on the final.
150*.88=132 (test 1)
150*.94=141 (test 2)
150*.90=135 (test 3)
132+141+135= 408

651-408 = 243 points to score on the final exam.
243/250 =.972 or 97.2%

3 0

3 years ago

Which function is the inverse of Rx) = 8x + 4?

babunello [35]

Answer:

$B.~f^{-1}(x)=\frac{x-4}{8}$