All categories

2 years ago

F(x) = 2x - 3 and f(x) = f'(x), find the value of x.

Mathematics

1 answer:

Salsk061 [2.6K]2 years ago

8 0

Answer:

x=1

Step-by-step explanation:

According to your typed question,

f(x)=2x-3

Let f(x)=y

y=2x-3

Now,

Interchanging the positions of x and y

x=2y-3

x+3=2y

x+3/2=y

f'(x)=x+3/2

Then,

f(x)=f'(x)

2x-3=x+3/2

2(2x-3)=x+3

4x-3=x+3

4x-x=3+3

3x=3

x=3/3

x=1

According to your image question,

f(x)=x/2x-3

f(x)=f'(x)

Now,

Let y=f(x)

y=x/2x-3

y(2x-3)=x

2xy-3=x

2xy-x=3

x(2y-1)=3

2y-1=3x

2y=3x+1

y=3x+1/2

f'(x)=3x+1/2

Then,

f(x)=f'(x)

x/2x-3=3x+1/2

2x=6xsq+2x-9x+3

2x=6xsq+7x+3

solve for x ok

You might be interested in

Options A positive B negative C zero D undefined I’ll give you brainlest

True [87]

Answer:

Step-by-step explanation:

i want it now

3 0

2 years ago

Is this correct??????

nadezda [96]

Answer:

yes, the Temperature is 5 F

Step-by-step explanation:

-3 + 8 = 5

3 0

2 years ago

Read 2 more answers

NEED HELP ASAP PLEASE

timurjin [86]

If the unknown value is x, then x = $\frac{14}{4}$ × 6 = 21.

Explanation:

Since it is a double number line with a ratio, all the ratios of one number line to the other will remain equal for all the values along both the number lines. Assume the unknown value to be x.
The ratio of the number on the first number line to the corresponding number on the second number line is calculated to be; $\frac{7}{2}$ = $\frac{14}{4}$ = $\frac{x}{6}$ = $\frac{28}{8}$ = $\frac{35}{10}$ = 3.5. So $\frac{x}{6}$ = 3.5, x = 3.5 × 6 = 21.
We can also calculate x by the following method. As ratios are equal we can directly substitute the value to another ration. So $\frac{14}{4}$ = $\frac{x}{6}$ , x = $\frac{14}{4}$ × 6 = $\frac{84}{4}$ = 21.