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liberstina [14]
2 years ago
8

F(x)= 2x+3/x-1, x ≠ 1, dan f^-1 adalah invers dari f

Mathematics
1 answer:
Sindrei [870]2 years ago
5 0

Answer:

The answer are

A.

{f}^{ - 1} (x) =  \frac{x + 3}{x - 2}

B.

{f}^{ - 1} ( - 3) = 0

Step-by-step explanation:

To find the infers we do that

f(x) =  \frac{2 x + 3}{x - 1 }  \\ (x - 1)f(x) = 2x + 3 \\ xf(x) - f(x) = 2x + 3 \\ xf(x) - 2x = f(x) + 3 \\ x(f(x) - 2) = f(x) + 3 \\  x =  \frac{f(x) + 3}{f(x) - 2}  \\ then \:  \\  {f}^{ - 1} (x) =  \frac{x + 3}{x - 2}  \\ then \\  {f }^{ - 1} ( - 3) =  \frac{ - 3 + 3}{ - 3 + 2}  = 0

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Negative 34 means (-34)

times means to multiply, then

-34\times1567

To do it without a calculator we will make -34

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-4\times1567=-6268-30\times1567=-47010

Then add the answers

-34\times1567=-6268+-47010=-53278

The answer is -53278

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1 year ago
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3 years ago
Given the function f(x)=-5x^2+2x+9,find f(1) and f(2) Choose the statement that is true concerning these two values
SIZIF [17.4K]
F(1) = -5(1)^2+2(1)+9 = 6
f(2) = -5(2)^2+2(2)+9 = -9

So, because f(1) = 6 is positive and f(2) = -9 is negative, f(1) > f(2).

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6 0
2 years ago
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What is (+5) - (-1) - (-3)
maksim [4K]
+ = positive
Positive and positive makes a positive

Negative and negative makes a positive

- = negative
Negative and positive makes a negative

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Your answer: +5 - (-1) = 6
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4 0
3 years ago
Please help me i know this might take a while but plz my teacher be buggin <br> Due today
trasher [3.6K]

Answer:

5) Part A: The rate of change, also known as the slope, is the "0.6x" part of the equation. It means that for every week the puppy is alive, x, that number is multiplied by 0.6 pounds.

Part B: The y-intercept is 4 pounds, which represents a puppy being 4 pounds at birth.

Part C: y = 0.6x + 4

y = 0.6(8)+4

y = 8.8

At 8 weeks, a puppy is estimated to be 8.8 pounds.

Part D: y = 0.6x + 4

22 = 0.6 + 4

-4              -4

18 = 0.6x

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It would take a puppy 30 weeks to reach 22 pounds.

8 0
2 years ago
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