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lesya692 [45]
3 years ago
14

Find f(x) if it is known that f(x−2)=2x−4

Mathematics
2 answers:
bezimeni [28]3 years ago
3 0

Answer:

f(x) = 2x

Step-by-step explanation:

Remark

What I'm about to do is probably not the best way to do this question, but it is right. The plan is to take out a common factor on the right of f(x - 2) and then derive f(x) from that.

Solution

  • f(x - 2) = 2x - 4              Take out a common factor on the right of f(x -2)
  • f(x - 2) = 2(x - 2)             Now what that means is that in the original equation, wherever you saw an x, you put in x - 2. So the original equation must have been

Check

  • f(x) = 2x                         To check this put x - 2 back in
  • f(x - 2) = 2(x -2)              Remove the brackets.  
  • f(x - 2) = 2x - 4  which is what it should be.
Dahasolnce [82]3 years ago
3 0

Answer:

f(x) = 2x

Step-by-step explanation:

Substitute y+2 for x

f(x−2)=2x−4

f(y+2-2)=2(y+2)-4

f(y)=2y+4-4

f(y)=2y

Substitute x for y

f(x)=2x

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Given that <br> a:b = 4:5 <br> and <br> b:c=3.2 <br> find the ratio a:b:c in its simplest form
alex41 [277]
A:b = 4:5
b:c=3:2
b was 5 then it was 3, so you have to find the common multiple which is 15.
you’d have to times the 4 (a) by 3 since that 5x3 is 15
you’d have to times the 2 (c) by 5 since 5x3 is 15 again.
therefore the answer would be
a:b:c
12:15:10
I hope this makes sense it was kinda hard to explain sorry :)
5 0
3 years ago
Read 2 more answers
A nontoxic furniture polish can be made by combining vinegar and olive oil. The amount of oil should be three times the amount o
DENIUS [597]
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Because the total amount of furniture polish is 30 ounces, we will need to write one part vinegar to three parts oil as a part to part to whole ratio.

Use this information then and create an equivalent ratio with a total of 30 ounces. See below.

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7 0
3 years ago
Which angle is complementary to Angle C O D?
zepelin [54]

Answer:

<u>Angle B O C</u>

<u />

Step-by-step explanation:

<em>Complementary angles add up to </em><em>90</em>

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8 0
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Answer:

Step-by-step explanation:

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3 0
3 years ago
Suppose that the commuting time on a particular train is uniformly distributed between 42 and 52 minutes. Bold a. What is the pr
nikdorinn [45]

Answer: 0.2

Step-by-step explanation:

Given: The commuting time on a particular train is uniformly distributed over the interval (42,52).

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Thus, the required probability :-

P(X

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7 0
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