All categories

3 years ago

Consider function f. f(x) = sqrt 7x- 21

Mathematics

2 answers:

Arada [10]3 years ago

6 0

Answer:

f^-1(x) = (x² + 21)/7

Step-by-step explanation:

Since f(x) = y = √(7x – 21), to find the inverse of f(x) we have to write x in terms of y in order to make x the dependent variable and y the independent variable. The steps involved are:

Step 1: square both sides of the equation, y = √(7x – 21). Doing that, we have:

y² = 7x – 21

Step 2: Add 21 to both sides of the resulting equation. Doing that, we have:

y² + 21 = 7x

Step 3: Divide both sides of the equation by 7. Doing that we have:

x = (y² + 21)/7

Step 4: Replace x with f^-1(x) and y with x. Doing that, we have:

f^-1(x) = (x² + 21)/7

kipiarov [429]3 years ago

4 0

Answer:look at explanation

Step-by-step explanation:

You might be interested in

Sam's problem: The median number of 2, 18, 3, 22, 5 is 10. Your solution: Was Sam correct? Select the reason from the selections

Mumz [18]

Answer:

It's not, the Median is 5 the mean is 10!

Step-by-step explanation:

The median is also the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

3 0

3 years ago

PLZ help me fast 2 mins left

jek_recluse [69]

Answer:

$\sqrt{-5}=i\sqrt{5}$

$\sqrt{-25}=5i$

Step-by-step explanation:

i is an imaginary unit, this means

$i^2=-1$

Rewrite -5 as $5\cdot (-1)=5\cdot i^2,$

then

$\sqrt{-5}=\sqrt{5i^2}=\sqrt{5}\cdot \sqrt{i^2}=\sqrt{5}\cdot i=i\sqrt{5}$

Rewrite -25 as $-25=25\cdot (-1)=25\cdot i^2,$

then

$\sqrt{-25}=\sqrt{25\cdot i^2}=\sqrt{25}\cdot \sqrt{i^2}=5\cdot i=5i$

6 0

3 years ago

Sean can spend at most $15.00 on snacks. He has already spent $5.00. Which inequality could be solved to determine how much mone

Lady bird [3.3K]

Answer:

5 + x ≤ 15

Step-by-step explanation:

4 0

4 years ago

How do I graph the linear equation of y=x+2

Korolek [52]

Replace ‘x’ with what ever number and then add 2, because if you make x a 1 then you would get a three. the equation goes from (x+2)=y to (1+2)=3 so make x whatever you want and then add 2 and you’ll get your ‘y’

6 0

3 years ago

Jose walked 5 miles in 2 hours. What was his walking rate in miles per hour?

balandron [24]

It is 2.5 miles per hour

3 0

3 years ago

Read 2 more answers