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olga55 [171]
1 year ago
8

Use f(x) = 1/2x and f^-1(x) = 2x to solve the problems

Mathematics
1 answer:
elixir [45]1 year ago
8 0

Consider the given functions,

\begin{gathered} f(x)=\frac{1}{2}x \\ f^{-1}(x)=2x \end{gathered}

Solve for f(2) as,

\begin{gathered} f(2)=\frac{1}{2}(2) \\ f(2)=1 \end{gathered}

Thus, the value of f(2) is equal to 1 .

Solve for inverse of f(1) as,

\begin{gathered} f(2)=\frac{1}{2}(2) \\ f(2)=1 \end{gathered}

Thus, the value of f(2) is equal to 1 .

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Evaluate the following expression.<br> 153^0
laiz [17]
Any number except 0 to the power of 0 is 1.
Thus,
153⁰ = 1
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4 years ago
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Atrain leaves a station and travels north at 50 kmh Four hours later a second train leaves on a paralel track and travels north
ryzh [129]

Answer:

Step-by-step explanation:

50 X 4= 200

90 X 5=450

50 X 5=250

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Therefore it takes 5 hours for train B which is the train moving at 90 km per hr  to catch up to train A.

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3 years ago
Solve for x. NEED ANSWER ASAP TYY SO MUCH IN ADVANCE
Serjik [45]

Answer:

x = 10√3

Step-by-step explanation:

Because of the right angles, we can use Pythagoras

30² - x² = y²  (a) Largest triangle

y² - 20² = h² (b) Medium triangle

substitute y² from (a) into (b)

30² - x² - 20² = h²

500 - x² = h²  (d)

x² - h² = (30 - 20)² (c) smallest triangle

substitute h² from (d) into (c)

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4 0
3 years ago
Which of the following is most likely the next step in the series?
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Solve 3(x + 2) &gt;x<br>Please ​
Anon25 [30]

Answer:

x > −3

Step-by-step explanation:

Let's solve your inequality step-by-step.

3(x + 2) > x

Step 1: Simplify both sides of the inequality.

3x + 6 > x

Step 2: Subtract x from both sides.

3x + 6 − x > x − x

2x + 6 > 0

Step 3: Subtract 6 from both sides.

2x + 6 − 6 > 0 − 6

2x > −6

Step 4: Divide both sides by 2.

2x / 2 > −6 / 2

x > −3

Answer:

x > −3

Hope this helps :)

7 0
3 years ago
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