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3 years ago

Plz help me i need it

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

8 0

Answer: $\bold{d)\quad f^{-1}(x)=\dfrac{e^x}{5}}$

Step-by-step explanation:

To find the inverse, swap the x's and y's and solve for y. Note: f(x) is y

$y = ln(5x)\\\\\text{Swap the x's and y's:}\\x=ln(5y)\\\\\text{Apply e to both sides:}\\e^x=e^{ln(5y)}\\\\e^{ln}\ \text{cancels out:}\\e^x=5y\\\\\text{Divide both sides by 5:}\\\dfrac{e^x}{5}=y\\\\\large \boxed{f^{-1}(x)=\dfrac{e^x}{5}}$

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Can someone please check this?

IceJOKER [234]

Answer:

Your answers are correct.

Step-by-step explanation:

The equality will be true for odd multiples of π/4, so the last two choices will not show the expression to be not an identity.

8 0

3 years ago

So confused some one help

SOVA2 [1]

Answer:

-2 (filled in circle) to 7 (open circle)

Step-by-step explanation:

for the first equation x must be the equal to or smaller than 6. so -3(-2) equals 6 but anything less than -2, let's say -3(-3), will be BIGGER than six, so -2 including -2 which is a filled in circle.

solving it:

-3(x) $\leq$ 6

$\frac{-3x}{-3} \leq \frac{6}{-3}$

$x\leq -2$

for the second equation x must be smaller than 17. so first you take out + 3 by subtracting it, leaving the equation as 2x<14. 2(7)<14 is NOT true so anything bigger than 7 leaves it as true because 6.98934747483 can still make it true, so anything smaller than 7 which is 7 with a not filled in, or open, circle

solving it:

$2x + 3 (- 3) < 17 (- 3)$

2x < 14

$\frac{2x}{2}$

x < 7

my explanation is all over the place, but hope this helps!!!

4 0

3 years ago

Not parallel to y=6x+2

bija089 [108]

Hello there! A line that is not parallel to the line given, y = 6x+2, would have a slope value other than 6.

This is because any lines with the same slope and different y-intercepts are parallel to each other, so for them to be not parallel, the slopes would have to be different.

Hope this helps, and have a great day! :)

3 0

3 years ago

F(x) = 4x -1 what is the value of y when x=3

harina [27]

F(x) = 4x -1
Substitue 3 for x
F(3) = 4(3)-1
Multiply 4 by 3
F(3) = 12-1
Subtract
Final Answer: F(3)= 11

7 0

2 years ago

Help I don’t understand this

Anna007 [38]

Step-by-step explanation:

look at the already present values in the table.

there is 473 under "number" in the first line.

398 under "100 more" in the second line.

and 890 under "10 less" in the third line.

the column "number" is always the foundation for all the other columns left and right.

e.g. "100 less" means 100 less than that number in the middle of the same line.

we need to figure out the missing numbers in each line, so that every line is consistent with its "number" in the middle.

first line :

we have "number" already (473). so,

"100 more" = 473 + 100 = 573

"10 more" = 473 + 10 = 483

"1 more" = 473 + 1 = 474

"number" = 473

"1 less" = 473 - 1 = 472

"10 less" = 473 - 10 = 463

"100 less" = 473 - 100 = 373

second line :

we have "100 more" (398). that means this is 100 more than "number". so,

"100 more" = 398

"10 more" = (398 - 100) + 10 = 308

"1 more" = (398 - 100) + 1 = 299

"number" = 398 - 100 = 298

"1 less" = 298 - 1 = 297

"10 less" = 298 - 10 = 288

"100 less" = 298 - 100 = 198

third line :

we have "10 less" (890). that means this is 10 less than "number". so,

"100 more" = (890 + 10) + 100 = 1000

"10 more" = (890 + 10) + 10 = 910

"1 more" = (890 + 10) + 1 = 901

"number" = 890 + 10 = 900

"1 less" = 900 - 1 = 899

"10 less" = 890

"100 less" = 900 - 100 = 800

6 0

2 years ago