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4vir4ik [10]
2 years ago
10

Which function has an inverse that is also a function?

Mathematics
1 answer:
dimaraw [331]2 years ago
3 0

Answer:

g(x) = 2x – 3 is the function has an inverse that is also a function.

The correct option is A.

Inverse function;

The inverse of a function is the equation where x and y have switched places.

Here g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to;

y  = \frac{x-3}{2}

y = \frac{1}{2} x - \frac{3}{2}

k(x) = -9x^{2} has the inverse x =-9y^{2} which simplifies to;

y =\sqrt{ \frac{x}{-9} }

f(x) = |x+2| is an absolute value function.

w(x) = -20 does not have an inverse which is a function.

Therefore

The function has an inverse that is also a function is g(x) = 2x – 3.

#SPJ1

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PLEASE HELP
shtirl [24]

Answer:

70 m

Step-by-step explanation:

AB makes a 30-60-90 triangle with the wall.

AC makes a 45-45-90 triangle with the wall.

In a 30-60-90 triangle, the short leg (opposite of the 30° angle) is half the hypotenuse.

In a 45-45-90 triangle, the legs are the same length.

So the distance between the left wall and the laser is 60/2 = 30 m.

The distance between the right wall and the laser is 40 m.

The total distance is therefore 70 m.

6 0
2 years ago
Use the recursive formula to answer the question. What’s the 7th term in the sequence?
tensa zangetsu [6.8K]

Answer:

a7 = 36

Step-by-step explanation:

Here, we are to use the recursive formula to calculate the 7th term( we add the preceding term to 4 so as to get the succeeding term)

a1 = 12

using the recursive formula given in the question

a2 = 12 + 4 = 16

a3 = 16 + 4 = 20

a4 = 20 + 4 = 24

a5 = 24 + 4 = 28

a6 = 28 + 4 = 32

a7 = 32 + 4 = 36

3 0
3 years ago
Let f (x) = 1/x<br> and g(x) = x² – 3x. What<br> two numbers are not in the domain of fºg?
iren [92.7K]

For this case we have the following equations:

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

We must find (f_ {o} g) (x):

By definition of composition of functions we have to:

(f_ {o} g) (x) = f (g (x))

So:

(f_ {o} g) (x) = \frac {1} {x ^ 2-3x}

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

x ^ 2-3x = 0\\x (x-3) = 0

So, the roots are:

x_ {1} = 0\\x_ {2} = 3

The domain is given by all real numbers except 0 and 3.

Answer:

x other than 0 and 3

8 0
3 years ago
Read 2 more answers
what is the volume of a triangular pyramid that is 10 inches tall and has a base area of 9 square inches please help
andreyandreev [35.5K]

Answer:

90 but since its a triangle but im

pretty sure you have to divide by 2 so 45 i think

3 0
3 years ago
Which of the following correctly indicates whether a triangle can have sides with lengths 3.8, 7.4, and 11, and also provides th
dimaraw [331]

Answer:

I think its c?

Step-by-step explanation:

Im sorry if its wrong.

6 0
2 years ago
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