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maks197457 [2]
1 year ago
11

What is the inverse of this function?

Mathematics
1 answer:
Andreas93 [3]1 year ago
8 0

Step-by-step explanation:

f(x) = y = -1/2 × sqrt(x + 3), x >= -3

-2y = sqrt(x + 3)

4y² = x + 3

x = 4y² - 3

and now we need to rename x to y and y to x to make it a "normal" function :

y = 4x² - 3

since in the original function x >= -3, this gave us y <=0.

and therefore (remember the x of the inverse function actually stands for the y of the original function) the limit for the inverse function is x <= 0.

so, again, the full answer is

f^-1(x) = 4x² - 3, x <= 0

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Find the domain of the function. (Enter your answer using interval notation.)
Andreas93 [3]

Answer:

(-\infty,-9)\cup(-9,\infty)

Step-by-step explanation:

The domain of a rational function is all real numbers <em>except </em>for when the denominator equals 0.

So, to find the domain restrictions, set the denominator to 0 and solve for x.

We have the rational function:

s(y)=\frac{7y}{y+9}

Set the denominator to 0:

y+9=0

Subtract 9:

y\neq-9

So, the domain is all real numbers except for -9.

In other words, our domain is all values to the left of negative 9 and to the right of negative 9.

In interval notation, this is:

(-\infty,-9)\cup(-9,\infty)

And we're done :)

4 0
2 years ago
What’s the correct answer??? I will mark as brainlest
oksian1 [2.3K]

Answer: the answer is 10

Step-by-step explanation:

6 0
3 years ago
What is the solution to the equation below log5(2x-3)=2
Komok [63]

Answer:

Step-by-step explanation:

Use the exponential form of this log equation. Rewriting this into exponential form gives us

5^2=2x-3

5-squared is 25, so

25 = 2x - 3 and

22 = 2x so

x = 11

7 0
2 years ago
HELP!!!!! ASAP PLEASE!!!!!!!!!!
Nataly_w [17]

Answer:

Tangent line states that a line in the plane of a circle that intersect the circle in exactly one point.

Common external tangent states that a common tangent that does not intersects the line segment joining the centers of circle.

Common internal tangent states that a common tangent that intersects the line segment joining the centers of circle.

Circumscribe polygon states that a polygon with all sides tangent to a circle contained within the polygon.

Therefore:

A polygon with all sides tangent to a circle contained within the polygon = Circumscribe polygon

A common tangent that intersects the line segment joining the centers of circle = Common internal tangent

A common tangent that does not intersects the line segment joining the centers of circle = Common external tangent

a line in the plane of a circle that intersect the circle in exactly one point = Tangent line

3 0
3 years ago
Elena and Diego each wrote an equation to represent the diagram. Elena wrote 35+w+41=180. Diego wrote 35+w=180.which equation do
Masteriza [31]

Answer:

Step-by-step explanation:

i need to see the diagram, to help you

6 0
2 years ago
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