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2 years ago

Inverse function details

Mathematics

1 answer:

Lerok [7]2 years ago

5 0

Step-by-step explanation:

First, replace f(x) with y ⇒ f(x)=6x-19 ⇒ y=6x-19

Then y with x and x with y ⇒ y=6x-19 ⇒ x=6y-19

Solve the equation from for y:

x=6y-19

x+19=6y dividing with 6

1/6 x +(19/6) = y

Replace y with f−1(x) ⇒ f−1(x)= 1/6 x +(19/6)

hope this helps!

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mel-nik [20]

Answer:

I think it's non linear because the 1 to 1 wouldn't work

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2 years ago

Officer Brimberry wrote 32 tickets for traffic violations last week, but only 12 tickets this week. What is the percent decrease

kolbaska11 [484]

Answer:

62.5 %

Step-by-step explanation:

you have to subtract 32-12, which equals 20

then divide 20 by the original amount (20/32)

20/32= .625, then you have to multiply to get the final answer...hope this helped!

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1 year ago

Which statement describes the behavior of the function f(x)=3x/4-x?

Oksana_A [137]

Answer:

The graph approaches –3 as x approaches infinity. Option a is correct.

Step-by-step explanation:

The given function is

$f(x)=\frac{3x}{4-x}$

We have to find value of function as x approaches infinity. Take limit both sides as x approaches to infinity.

$\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3x}{4-x}$

Taking x common from the denominator.

$\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3x}{x(\frac{4}{x}-1)}$

Cancel out common factor x.

$\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3}{\frac{4}{x}-1}$

Apply limits.

$\lim_{x\rightarrow \infty}f(x)=\frac{3}{\frac{4}{\infty}-1}$

$\lim_{x\rightarrow \infty}f(x)=\frac{3}{0-1}$

$\lim_{x\rightarrow \infty}f(x)=-3$

Therefore the graph approaches –3 as x approaches infinity.

7 0

3 years ago

Read 2 more answers

Please help me out with this!!!!!!!

Bad White [126]

Answer:

Step-by-step explanation:

The line on the right has equation y = x + 1

The absolute value function always gives a positive value

Thus the equation is y = | x + 1 | → A

3 0

2 years ago

2x(5+3x)-x find the coefficient of x

s344n2d4d5 [400]

To start, we need to distribute

multiply 2x by everything in the parenthesis

2x (5 + 3x) - x

2x × 5 = 10x

2x × 3x = 6x²

now we have...

10x + 6x² - x

simplify

6x² + 9x

the coefficient of x is 9!

4 0

3 years ago