1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fiasKO [112]
3 years ago
11

If g(x)= square root of 3-5x, find the domain of g'(x).

Mathematics
2 answers:
lys-0071 [83]3 years ago
7 0

Answer: Check the pic

Step-by-step explanation:

BaLLatris [955]3 years ago
5 0

Answer:

domain: x>3/5

Step-by-step explanation:

First we need to derive our function g(x) to get a new function g'(x)

To do this we will have to apply chain rule because we have an inner and outer functions.

Our G(x) = square root(3-5x)

Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)

where d/dx(g(f(x)) = g'(x)

g(x) is the outer function which is x^1/2

f(x) is our inner function which is 3-5x

therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5

g'(f(x)) = -1/2(3-5x)^(-1/2)

Applying chain rule then g'(x) = 1/2 (3-5x)^(-/1/2)*(-5)

But the domain is the values of x where the function g'(x) is not defined

In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined

which gives us x >3/5

You might be interested in
2/5 in Fraction form?
hram777 [196]

Answer:

2/5 is fraction form.

0.4 is decimal form btw.

5 0
2 years ago
Factor the GCF: 12a3b + 8a2b2 − 20ab3
Harrizon [31]
<span>12a^3b + 8a^2b^2 − 20ab^3

</span>12a^3b = 4ab(3a^2)
8a^2b^2 = 4ab(2ab)
20ab^3 = 4ab(5b^2)

GCF = 4ab

12a3b + 8a2b2 − 20ab3 = 4ab(3a^2 + 2ab - 5b^2)
6 0
3 years ago
Read 2 more answers
How many vertices does a polyhedron have with 5 faces 3 rectangles and two triangles​
steposvetlana [31]

Answer:

It has six vertices.

4 0
3 years ago
Three cards are chosen from a standard deck of 52 playing cards with replacement what is the orobsbility every card will be a he
Ne4ueva [31]
1/4 x 1/4 x 1/4 = 1/64

There is a 1/64 chance that they will all be hearts.
7 0
3 years ago
PLEASE HELP WILL NAME BRAINLEST
Schach [20]

Answer:

All of them are parallel

Step-by-step explanation:

This is due to the all of the 90 degree angle which would make the rest of the line a would be another 90 degree angle Which are found on every line. This would make all of the lines parallel because it is a total of 180 degrees.

7 0
2 years ago
Other questions:
  • Nora is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Nora will earn $40
    10·1 answer
  • Which expression is equivalent to -36 – 8?
    5·2 answers
  • Which of the following statements best explains how the graphs misrepresent the data?
    7·1 answer
  • Mai has a bookcase with 6 shelves. There are c books on each shelf. Using c, write an expression for the total number of books.
    8·2 answers
  • Solve for the inequality -6× - 17&gt; 8× + 25
    7·1 answer
  • 1/3× + 1/4× + × = 57 how to resolve this.
    14·1 answer
  • Least to greatest 1.41 , 1.047, 1.444 (repeated), 1.4, 1.04
    8·1 answer
  • Solve 10 - 3x = 2x - 8x + 20
    6·2 answers
  • PLZ PLZ PLZ PLZ HELP​
    12·2 answers
  • There is a cube that is one unit long one unit wide and 1 unit deep what is the volume of this Cube
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!