How do you solve this equation? W-158=600

Find lim ?x approaches 0 f(x+?x)-f(x)/?x where f(x) = 4x-3

Whitepunk [10]

If $f(x)=4x-3$ :

$\displaystyle\lim_{\Delta x\to0}\frac{(4(x+\Delta x)-3)-(4x-3)}{\Delta x}=\lim_{\Delta x\to0}\frac{4\Delta x}{\Delta x}=4$

If $f(x)=4x^{-3}$ :

$\displaystyle\lim_{\Delta x\to0}\frac{\frac4{(x+\Delta x)^3}-\frac4{x^3}}{\Delta x}=\lim_{\Delta x\to0}\frac{\frac{4x^3-4(x+\Delta x)^3}{x^3(x+\Delta x)^3}}{\Delta x}$

$\displaystyle=\lim_{\Delta x\to0}\frac{4x^3-4(x^3+3x^2\Delta x+3x(\Delta x)^2+(\Delta x)^3)}{x^3\Delta x(x+\Delta x)^3}$

$\displaystyle=\lim_{\Delta x\to0}\frac{-12x^2\Delta x-12x(\Delta x)^2-4(\Delta x)^3}{x^3\Delta x(x+\Delta x)^3}=-\frac{12}{x^4}$

7 0

3 years ago

If h(x) is the inverse of f(x). what is the value of h(f(x))?

attashe74 [19]

Option C is correct

The value of h(f(x)) is, x

Inverse function:

An inverse function that undergoes the other function.

For example: if f(x) is the inverse of g(x) then;

for every x.

As per the statement:

If h(x) is the inverse of f(x).

by definition of inverse:

Therefore, the value of h(f(x)) is, x

6 0

3 years ago

Read 2 more answers

a model of an apartment is shown 1\4 in. represents 3 feet in the actual apartment. Find the actual area of the master bedroom

Hatshy [7]

Answer:12 feet by 9 feet

Step-by-step explanation:

1/4 = 3 feet, so every 1/4 of an inch there is three feet, e.g. 3/4 inches of that scale is 9 feet, 1 1/2 inches would be 18 feet, make sense?

8 0

3 years ago

I need help on this question!

lord [1]

Answer:

If A = 8, B = 5

If A = 20, B = 3

Step-by-step explanation:

4x²(2x³ + 5x)

8x⁵ + 20x³

If A = 8, B = 5

If A = 20, B = 3

4 0

3 years ago

A jar has 20 marbles: 3 green, 12 blue, 5 red.

nadezda [96]

Probability is defined as the likelihood or the certainty that an event is going to occur or happen.

The probability of randomly choosing a red and then a green marble is $3/76$ .

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

In simplest fraction form = $\frac{1}{4}$

We are told in the question that you keep the red marble you choose, So this means the total number of marbles left reduces to 19

The probability of choosing a green marble is = Number of green marbles / New total number of marbles

= 3/19

Therefore, the probability of randomly choosing a red and then a green marble is

P (Red) x P(Green)

= 1/4 x 3/19

= $3/76$

To learn more, visit the link below:

brainly.com/question/22563776

4 0

2 years ago