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3 years ago

If f ( x ) = 2x + 2 and g ( 1 ) = 3x – 1, find (f/g) (2)

Mathematics

2 answers:

Lena [83]3 years ago

7 0

Answer:

6/5

Step-by-step explanation:

(f/g)(2) = 2x+2/3x-1

(f/g)(2) = 2(2)+2/3(2)-1

(f/g)(2) = 4+2/6-1

(f/g)(2) = 6/5

Best of Luck!

schepotkina [342]3 years ago

6 0

Answer:

6/5 or 1.2

Step-by-step explanation:

Given functions:

f (x) = 2x + 2
g (x) = 3x – 1

To find:

(f/g) (2)

Solution

(f/g)(x) = f(x)/g(x) = (2x + 2) / (3x - 1)
(f/g)(2) = (2*2 + 2) / (3*2 - 1) = 6/5 = 1.2

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Endpoint: (9,-10), midpoint: (4,8)

Alika [10]

Answer:

( -1 , 26)

Step-by-step explanation:

So since you need to find the other endpoint, you would follow these steps:

1.) $4 = \frac{9 + x}{2\\}$

2.) 8 = 9 + x ( you just multiplied the 2 to the 4 to get 8)

3.) -1 = x (just solve it like a regular equation, so just subtract 9 on both sides to get rid of it and that leaves you with -1 = x)

You took the x values of both points and put them in the equation.

And its the same for y

1.) $8 = \frac{-10 + y}{2}$

2.) 16 = -10 + y

3.) 26 = y (you added the 10 on both sides because the 10 was negative and that took the 10 out and so it left you with 26 = y)

5 0

3 years ago

F(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B7%7D%20-%5Csqrt%7Bx%5E2%2B2x-15%7D" id="TexFormula1" title="\sqrt{x+7} -\

elena-s [515]

Answer:

x >= -7 ................(1a)

x >= 3 ...............(2a1)

Step-by-step explanation:

f(x) = $\sqrt{x+7}-\sqrt{x^2+2x-15}$ .............(0)

find the domain.

To find the (real) domain, we need to ensure that each term remains a real number.

which means the following conditions must be met

x+7 >= 0 .....................(1)

AND

x^2+2x-15 >= 0 ..........(2)

To satisfy (1), x >= -7 .....................(1a) by transposition of (1)

To satisfy (2), we need first to find the roots of (2)

factor (2)

(x+5)(x-3) >= 0

This implis

(x+5) >= 0 AND (x-3) >= 0.....................(2a)

(x+5) <= 0 AND (x-3) <= 0 ...................(2b)

(2a) is satisfied with x >= 3 ...............(2a1)

(2b) is satisfied with x <= -5 ................(2b1)

Combine the conditions (1a), (2a1), and (2b1),

x >= -7 ................(1a)

AND

(

x >= 3 ...............(2a1)

x <= -5 ................(2b1)

)

which expands to

(1a) and (2a1) OR (1a) and (2b1)

( x >= -7 and x >= 3 ) OR ( x >= -7 and x <= -5 )

Simplifying, we have

x >= 3 OR ( -7 <= x <= -5 )

Referring to attached figure, the domain is indicated in dark (purple), the red-brown and white regions satisfiy only one of the two conditions.

3 0

3 years ago

Read 2 more answers

A bank quotes an interest rate as 0.06341 annual effective yield. What interest rate, compounded monthly, will provide that

Leviafan [203]

9514 1404 393

Answer:

0.06164

Step-by-step explanation:

The effective annual rate obtained by compounding nominal annual rate r monthly is ...

eff rate = (1 +r/12)^12 -1

Then the value of r is ...

r = 12×((eff rate) +1)^(1/12) -1)

For the given effective rate, that is ...

r = 12×(1.06341^(1/12) -1) ≈ 0.06164 . . . . nominal annual interest rate

4 0

3 years ago

Subtract 4 from n then multiply by 6

geniusboy [140]

Answer:

multiply 4 and 6 and the answer should be n-24

Step-by-step explanation:

n-4*6

n-24

3 0

3 years ago

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user100 [1]

This is hard to understand , do u have a photo

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3 years ago