All categories

2 years ago

If f(x) = 3x + 1 and f^-1 = x-1/3 , then the ordered pair of f(3) =

Mathematics

1 answer:

Basile [38]2 years ago

5 0

Answer:

Step-by-step explanation:

f(x) = 3x + 1

f^-1 = x-1/3 , it is known as inverse function.

f(3)= 3*3 +1

=9+1

=10

To find inverse,

x=3x + 1

y=3x+1

Exchanging the position or x and y

x=3y+1

x-1=3y

.•. y=x-1/3

You might be interested in

What's 18/40 in simplest form

lozanna [386]

18/40 divided by 2/2= 9/20

The simplest form is 9/20.

Hope this helps!

4 0

3 years ago

I'm having trouble finding the answer to this question

UkoKoshka [18]

The measurement of ABC is 125 degrees.

8 0

3 years ago

Help! I have no idea!

qwelly [4]

I believe is C and D because

C. The original rectangle width is 2m and the length is 4m. And to make the other rectangle they are adding .5 m to both the width and length

D. The original rectangle has a width of 2m and length of 4m. To make the other rectangle they are substracting 1 m from the width and length

5 0

3 years ago

Help me plzzzzzzzzz!!!!!!!!!!!!!!!!!!

Anvisha [2.4K]

Answer: ( 12 , 9 )

Step-by-step explanation:

The formula for finding the coordinate of points when a line is externally divided in a given ratio is given by :

x = $\frac{p x_{2}+q x_{1}}{p+q}$

y = $\frac{p y_{2}+q y_{1}}{p+q}$

From the question

$x_{1}$ = 2

$x_{2}$ = ?

x = 4

$y_{1}$ = -1

$y_{2}$ = ?

y = 1

p = 1

q = 4

substituting the values into the formula ,we have

x = $\frac{p x_{2}+q x_{1}}{p+q}$

4 = $\frac{1(x_{2})+4(2) }{1+4}$

4 = $\frac{x_{2}+8}{5}$

$x_{2}$ + 8 = 20

$x_{2}$ = 12

Also

y = $\frac{p y_{2}+q y_{1}}{p+q}$

1 = $\frac{y_{2}+4(-1)}{5}$

$y_{2}$ - 4 = 5

$y_{2}$ = 9

Therefore , the end of the stencil is located at point ( 12 , 9 )

5 0

3 years ago

Three locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side o

nlexa [21]

Answer:

74.31353

=74 m

Step-by-step explanation:

given that three locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side of the river. To find the distance AB across a river, a distance BC of 241 meters is laid off on one side of the river. It is found that the angle at point B is 108.6° and the angle at point C is 14.9°.

we have information about triangle ABC as side BC =241, Angle B = 108.6 and angle C = 14.9 degrees.

Hence this is an obtuse scalene triangle.

Angle ∠A = 56.5° (III angle)

Using sine formula we get

$\frac{AB}{sin 14.6} =\frac{BC}{sin 56.5} \\AB = 74.31353$

So distance AB is 74 metres.

5 0

3 years ago