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Nitella [24]
3 years ago
8

To determine whether the inverse of a function is a function you can perform the horizontal line test.

Mathematics
1 answer:
iris [78.8K]3 years ago
7 0

Answer:

\boxed{\text{TRUE}}

Step-by-step explanation:

If a horizontal line intersects the graph of a function in all places at exactly one point (the horizontal line test), the inverse of the function is also a function.

For example, the inverse of a hyperbola (like ƒ(x) =1/x) is a function, because every horizontal line intersects with the graph at exactly one point.

However, the inverse of a parabola (like ƒ(x) = x²) is not a function, because a horizontal line intersects with the graph at two points.

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Solve.<br>1.5 - 0.25(a + 4)= 3 + 3(0.05 - 0.5a)
alisha [4.7K]
The answer should be 2.12 
5 0
3 years ago
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1) Consider the sequence:
Ivan

Answer:

1) The 38th term is A. 38

2) The 11th term is D. 3072

3) The 3rd term is C. 34

Step-by-step explanation:

1) I added 2 until I got to the 38th term.

2) I multiplied until I got to the 11th term.

3) I added 3 until i got to the 12th term.

The teacher showed a more complex way to do it but this is just what I did.

I took the quiz, so I know that I got them all correct.

5 0
3 years ago
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F\left(x\right)\ =\ 2^{x\ }and\ g\left(x\right)\ =\sqrt{x}+1
castortr0y [4]

Answer:

F(x) = 2^x gives you (0,1)

G(x) = \sqrt{x}+1 also gives you (0,1)

Step-by-step explanation:

I hope these are the answers you were looking for! I'm sorry if it's not, I would need the question to give you the correct answer.

3 0
3 years ago
Help me answer this question please
quester [9]

Answer:

Step-by-step explanation:

√(x)

Shifted 3 units down:

√(x) - 3

Shifted 2 units to the right:

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Solve for x and write your answer in simplest form.<br><br> -1/2 -1/2(4/5x+1) = -2 -3x
dimaraw [331]

The solution of the equation which is as described in the task content when expressed in its simplest form is; -5/13.

<h3>What is the solution of the equation as described in the task content?</h3>

It follows from the task content that the solution to the equation is to be determined and expressed in its simplest form.

Given;

-1/2 -1/2(4/5x+1) = -2 -3x

By distributing the coefficients: we have;

-1/2 - 2/5x - 1/2 = -2 -3x

Hence, by collecting like terms; we have;

-1/2 - 1/2 + 2 = -3x + (2/5)x

1 = -13x/5

Therefore; by cross-multiplication; we have;

5 = -13x

Divide both sides by; -13.

x = -5/13.

Ultimately, the solution of the equation which is as described in the task content when expressed in its simplest form is; -5/13.

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