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Alona [7]
3 years ago
8

If f(x) =

absmiddle" class="latex-formula">, what is the equation for f–1(x)?
Mathematics
2 answers:
Simora [160]3 years ago
7 0

Answer:

(x-3)^2

Step-by-step explanation:

y = sqrt(x) +3

To find the inverse , we exchange x and y and then solve for y

Exchange x and y

x = sqrt(y) +3

Now solve for y

Subtract 3 from each side

x-3 = sqrt(y)

Square each side

(x-3)^2 = (sqrt(y))^2

(x-3)^2 = y

The inverse of  sqrt(x) +3  is (x-3)^2

Igoryamba3 years ago
5 0

Answer:

f⁻¹(x) =  (x-3)² is the inverse of given function.

Step-by-step explanation:

We have given function:

f(x) =√x +3

W e have to find the inverse of the given function.

Let y = f(x) then

y = √x +3

First, we interchange x and y we get,

x =√y +3

then solve the above equation for y we get,

√y = (x-3)

Squaring  both sides we get,

y= (x-3)²

Replacing y to f⁻¹(x) we get,

f⁻¹(x) =  (x-3)² is the inverse of given function.

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Lady_Fox [76]

Hey there! :)

Answer:

arc AB = 2.5π in (in terms of pi) or ≈7.85 in. (pi = 3.14)

Step-by-step explanation:

Begin by finding the circumference of the circle. Use the formula:

C = 2rπ

C = 2(9)π

C = 18π.

Since ∠AQB equals 50°, set up a ratio to find the length of arc AB:

\frac{50}{360}  = \frac{x}{18\pi }

Cross multiply:

50 · 18π = 360x

900π = 360x

Divide both sides by 360:

x = 2.5π in, or ≈7.85 in.

5 0
3 years ago
NEED HELP ASAP PLEASE I CANT FAIL
kati45 [8]

Answer:

220 miles

Step-by-step explanation:

65 miles per hour for 2 hours — 65+ 65 = 130

60 miles per hour for 1.5 hours — 60 (for the 1 hour) + 30 (for the half hour) = 90

130 + 90 = 220

7 0
3 years ago
Read 2 more answers
Julio invested $2,000 in a simple interest account for 3 years.She had earned $150 in interest by the end. What is the simple in
german
The formula is
R=I/pt
R interest rate?
I interest earned 150
P principle 2000
T time 3 years
R=150÷(2,000×3)
R=0.025 × 100
R=2.5%

Hope it helps!
4 0
3 years ago
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Please help me ASAP yall!!!
ASHA 777 [7]

Answer:

60

Step-by-step explanation:

<C+<D = 180 since they form a straight line

5x+20 +3x = 180

8x+20 = 180

Subtract 20 from each side

8x+20-20 = 180-20

8x = 160

Divide by 8

8x/8 = 160/8

x = 20

We want to find angle D

<D = 3x= 3*20 = 60

8 0
3 years ago
How do i solve this?
ss7ja [257]

Answer:

O

Step-by-step explanation:

8 0
3 years ago
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