Find the invers of f(x)
f(x) = 2x - 6
y = 2x - 6
y + 6 = 2x
2x = y + 6
x = (y + 6)/2
f⁻¹(x) = (x + 6)/2

Solve f⁻¹(x) for x = 2
Subtitute x with 2
f⁻¹(x) = (x + 6)/2
f⁻¹(x) = (2 + 6)/2
f⁻¹(x) = 8/2
f⁻¹(x) = 4

The answer is 4

8 0

3 years ago

A fair four-sided spinner has the numbers 1 to 4 marked on its sides. It is spun twice and the two scores are added together.

scZoUnD [109]

Answer:

Probability of getting doubles = 1/4

Step-by-step explanation:

Given - A fair four-sided spinner has the numbers 1 to 4 marked on its sides. It is spun twice and the two scores are added together.

To find - Using a sample space diagram, find the probability of getting a double.

Proof -

Given that,

A four-sided spinner is spin twice.

So,

The Sample Space becomes

S = { (1, 1), (1, 2), (1, 3), (1, 4)

(2, 1), (2, 2), (2, 3), (2, 4)

(3, 1), (3, 2), (3, 3), (3, 4)

(4, 1), (4, 2), (4, 3), (4, 4) }

So,

n(S) = 16

Now,

Let A is the event Getting a double, So,

A = { (1, 1), (2, 2), (3, 3), (4, 4) }

and

n(A) = 4

So,

The Probability of getting doubles = n(A) ÷ n(S)

= 4 ÷ 16

= 1/4

∴ we get

Probability of getting doubles = 1/4

6 0

3 years ago

***WILL GIVE BRAINLIEST***

IrinaVladis [17]

The answer is length AD is 3cm

6 0

3 years ago