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3 years ago

If f(x)=2/x-3 find f^-1(x)

Mathematics

1 answer:

cupoosta [38]3 years ago

4 0

Answer:

Step-by-step explanation:

To inverse a function, switch the y for x and x for y and solve for y

f(x) = 2/(x-3)

y = 2/(x-3)

x = 2/(y-3)

x*(y-3) = 2

y-3 = 2/x

y = 2/x-3

y = 2/x - 3x/x

y = 2+3x/x

[D]

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1. Solve the system.

Sliva [168]

Answer:

Step-by-step explanation:

We put 2nd equation into 1st equation and get y:

$y=\frac{1}{7}x-4\\y=\frac{1}{7}(7y+1)-4\\y=y+\frac{1}{7}-4\\y=y-\frac{15}{4}\\NOTHING$

We can't seem to come to a solution.

Also let's rearrange the 2nd equation into y = something form:

x = 7y + 1

7y = x - 1

y = 1/7 x -1

As we can see BOTH the lines have the same SLOPE, the number before x, which is 1/7 and we know that lines with same slope are parallel, they never intersect.

Having a solution to a system means their intersection point, since they are parallel lines, they don't intersect, and hence DO NOT HAVE A SOLUTION.

D is the correct choice.

8 0

4 years ago

Find the three angles of a triangle if the sum of the first angle and twice the second equals the third and, and if four times t

Anna71 [15]

Answer:

First Angle = 45°

Second Angle = 30°

Third Angle = 105°

Step-by-step explanation:

First angle + 2(Second angle ) = Third Angle

4(second angle) = Third Angle + 15°

or, Third angle = 4(second angle) - 15° ...(1)

⇒First angle + 2(Second angle ) = 4(second angle) - 15°

or, First angle = 2(second angle) - 15° ... (2)

Now by ANGLE SUM PROPERTY of a triangle:

First angle+ Second angle + Third Angle = 180°

Now, putting the values of (1) , (2) in above expression,

{2(Second angle) - 15° } + Second angle +{ 4(second angle) - 15°} = 180°

is the required equation.

or, 7(Second angle) - 30° = 180°

or, 7(Second angle) = 30° + 180° = 210°

⇒ Second angle = 210°/ 7 = 30°

Now, First angle = 2(second angle) - 15°

= (2 x 30°) - 15° = 45°

and, Third angle = 4(second angle) - 15°

= 4 x 30° - 15° = 120 - 15° = 105°

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4 years ago

Need help for this question

VMariaS [17]

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3 years ago

The figure shown is a rhombus. A rhombus with diagonals is shown. The diagonals form 4 triangles. The measures of the angles are

Vaselesa [24]

Answer:

Step-by-step explanation:

I just took the test and i got it correct! :)

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3 years ago

Rita ran for class president. She received 90 votes in the election. These votes represent 60% of the total number of students i

Sholpan [36]

Answer:

54 students

Step-by-step explanation:

90× 60% = 54

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3 years ago

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