All categories

2 years ago

F(x) = x^2 - 4, X is greater/less than 0 (a) Find the inverse function of f. F^-1(x) =

Mathematics

1 answer:

Natali5045456 [20]2 years ago

7 0

Step-by-step explanation:

f(x) = x² - 4

y = x²-4

x = y²-4

x + 4 = y²

$y = \sqrt{x + 4}$

You might be interested in

What is the true solution to ln 20+ln 5= 2 ln x

Aleks [24]

Ln20+ln5=2lnx
ln(20x5)=lnx^2
ln100=1nx^2
100=x^2
square root
x=10

5 0

2 years ago

Read 2 more answers

Jamal has at most $100 to spend on computer paper and printer ink for his computer. He buys 1 box of paper for $24.99. If ink ca

lions [1.4K]

Answer:

1 box of paper with 3 ink cartridges

Step-by-step explanation:

$100 total

$24.99+19.99(3)= $84.96 (4 ink cartridges would be over the allotted amount)

7 0

3 years ago

What is the solution to the equation x/3+x/6=7/2

Alchen [17]

Answer:

x = y

Step-by-step explanation:

x/3 + x/6 = 7/2

2x + x = 21

3x = 21

(divide 3 on both sides)

x = 7

5 0

2 years ago

What is the slope of the line for (-2,2) and (2,3)?

Allushta [10]

Answer:

y=1/4x slope is 1/4

Step-by-step explanation:

add 1 to 2 to get 3 for the change in y, then add 4 to -2 to get 2 for the change in x, then put the change in y (1), over the change in x (4), to get a slope of 1/4

5 0

2 years ago

Evelyn and Meredith decided to kayak 1 mile up and then back in the Humboldt channel.

Yakvenalex [24]

The rate of the water flowing in the channel was 2 miles per hour, the rate Evelyn and Meredith were paddling is mathematically given as

v+ = 2.29 1mile/hour

<h3>What is the rate Evelyn and Meredith were paddling?</h3>

Generally, the equation for the up and downstream motion is mathematically given as

vup=v-2

vdown=v+2

Therefore, Statement interpretation

2/3=40*1/60

3+2/3hr=11/3

Where, tup+tdown=11/3

tup+tdown=11/3

1/Vup+1/vdown=11/3

Considering the LCD equation

3(v-2)(V+2)

Hence

$\frac{3(v-2)(v+2)}{v-2}+\frac{3(v-2)(v+2)}{v+2}=\frac{11(3)(v-2)(v+2)}{3}\\\\3(v+2)+3(v-2)=11(v+2)(v-2)$

11v^2-6v-44=0

$v=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Resolving using the equation we have

v+ = 2.29 1mile/hour

v- = -1.745 mile hour