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3 years ago

The limit as x-approaches 3 of f(x) is x-3 over x squared -9

Mathematics

1 answer:

Luden [163]3 years ago

4 0

notice that the denominator can be factored into (x-3)(x+3).

Now you can cross out (x - 3) from the numerator and denomiantor resulting in a simplified fraction of $\frac{1}{x+3}$

Plug the limit value (which is 3) into the simplified fraction.

Answer: $\frac{1}{6}$

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WILL MARK BRAINLIEST IF ANSWER IS CORRECT

crimeas [40]

The last set (choice D) is a subset of given set B.

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3 years ago

If f(x) = 3x - 7, then f-1(x)=

fgiga [73]

Answer:

Step-by-step explanation:

so f-1(x) means we are finding the inverse

f(x) = 3x - 7.....change f(x) to y

y = 3x - 7.....now switch ur x and y and solve for y

x = 3y - 7....add 7 to both sides

x + 7 = 3y...divide both sides by 3

(x/3) + 7/3 = y....rearrange

y = (x/3) + 7/3....can also be written as : y = 1/3x + 7

now just change ur y to f-1(x)

f-1(x) = x/3 + 7/3.....or f-1(x) = 1/3x + 7/3

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3 years ago

Read 2 more answers

Is there a formula for problems like these? How do I even begin to solve it?

Pachacha [2.7K]

Well, they're saying 9 with an exponet of 2 multiplied by something equals 27..... Hmmm.....

5 0

3 years ago

Which expression gives the best estimate of 45 percent of 76?

jonny [76]

Answer:

Step-by-step explanation:

45% is close to 1/2 (50%) and 76 is close to 80, so 1/2 of 80 is the best answer.

1/2 of 80 is 40

45% of 76 is 76 x 0.45 is 34.2

6 0

3 years ago

Find tan(30) (its a right triangle)

Travka [436]

Use the 30-60-90 triangle.

Tan is opposite over adjacent.

$\frac{1}{ \sqrt{3} }$
Square roots cannot be on the bottom.

$\frac{1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} }$
The bottom cancel out the square root bar.

Your answer is:

$\frac{ \sqrt{3} }{3}$
(It's best to memorize the 30-60-90 and the 45-45-90 triangles during trigonometry. It helps a lot.)

Hope this helps!

:)

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3 years ago