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3 years ago

Which represents the inverse of the function f(x) = 4x?

Mathematics

1 answer:

Sidana [21]3 years ago

5 0

Answer:

h(x) = x/4

Step-by-step explanation:

To find the inverse of a function, exchange x and y and then solve for y

y = 4x

Exchange x and y

x = 4y

Solve for y

Divide each side by 4

x/4 = 4y/4

y = x/4

The inverse is

h(x) = x/4

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Let f (x) = 3x − 1 and ε > 0. Find a δ > 0 such that 0 < ∣x − 5∣ < δ implies ∣f (x) − 14∣ < ε. (Find the largest

s344n2d4d5 [400]

Answer:

This proves that f is continous at x=5.

Step-by-step explanation:

Taking f(x) = 3x-1 and $\varepsilon>0$ , we want to find a $\delta$ such that $|f(x)-14|$

At first, we will assume that this delta exists and we will try to figure out its value.

Suppose that $|x-5|$ . Then

$|f(x)-14| = |3x-1-14| = |3x-15|=|3(x-5)| = 3|x-5|< 3\delta$ .

Then, if $|x-5|$ , then $|f(x)-14|$ . So, in this case, if $3\delta \leq \varepsilon$ we get that $|f(x)-14|$ . The maximum value of delta is $\frac{\varepsilon}{3}$ .

By definition, this procedure proves that $\lim_{x\to 5}f(x) = 14$ . Note that f(5)=14, so this proves that f is continous at x=5.

3 0

2 years ago

Substitute x with (-2) and y with (-4)<br> Simplify: 5(41 - x) + {-7(y + x)} =

Gnesinka [82]

Answer:

257

Step-by-step explanation:

5(41-(-2))+{-7(-4-2)}

5(41+2)+{-7(-6)}

5(43)+(42)

215+42

257

4 0

3 years ago

Read 2 more answers

Given the parent function f(x) = x3 give the best description of the graph of .

Reil [10]

Answer:

Answer: A

Step-by-step explanation:

4 0

2 years ago

Te which theorem you can use to show that the quadrilate

lukranit [14]

Answer:

Step-by-step explanation

6 0

2 years ago

A bag contains 9 red tiles, 10 blue files, and 6 green tiles. A tile is randomly drawn from the bag. Which statement is true?

stepan [7]

Answer: A. The probability of drawing a red tile is 36% and the probability of NOT drawing a red tile is 64%

Step-by-step explanation:

Number of red tiles = 9

Number of blue files = 10

Number of green tiles = 6

Total number of tiles = 9 + 10 + 6 = 25

Probability of drawing red tile = 9/25 = 0.36 = 36%

Probability of drawing blue tile= 10/25 = 0.40 = 40%

Probability of drawing green tile = 6/25 = 0.24 = 24%

Based on the explanation above, the correct answe is option A "The probability of drawing a red tile is 36% and the probability of NOT drawing a red tile is 64%".

6 0

3 years ago