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3 years ago

Please help urgent!!!!

Mathematics

1 answer:

postnew [5]3 years ago

6 0

Answer:

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = (2x - 4)² ( take the square root of both sides )

$\sqrt{y}$ = 2x - 4 ( add 4 to both sides )

$\sqrt{y}$ + 4 = 2x ( divide terms on both sides by 2 )

$\frac{1}{2}$ $\sqrt{y}$ + 2 = x

x = $\frac{1}{2}$ $\sqrt{y}$ + 2

Change y back into terms of x

$f^{-1}$ (x) = $\frac{1}{2}$ $\sqrt{x}$ + 2, x ≥ 0

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lesya692 [45]

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Step-by-step explanation:

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Which set of ordered pairs represents a function? {(0, 1), (1, 3), (1, 5), (2, 8)} {(0, 0), (1, 2), (2, 6), (2, 8)} {(0, 0), (0,

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Answer: {(0, 2), (1, 4), (2, 6), (3, 6)}

Step-by-step explanation:

For a relation to be considered a function, each x-value needs to have one corresponding y-value--it cannot have more than 1.

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3 years ago

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Step-by-step explanation:

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Consider the following random experiment. First, roll a die and observe the number of dots facing up; then, toss a coin the numb

kipiarov [429]

Answer:

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

B.)

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Step-by-step explanation:

Sample space :

Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

Event that the total number of head is even:

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

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3 years ago