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
Olegator [25]
3 years ago
9

For f(x)= 3x+1 and g(x)= x^2-6, find (g/f)(x).

Mathematics
2 answers:
o-na [289]3 years ago
4 0
D. The exclusion is important because we cannot divide by zero. Apart from that we are simply looking at a function. 
Anton [14]3 years ago
3 0

Answer:

A. \frac{x^2+6}{3x+1}, x\neq -\frac{1}{3}

Step-by-step explanation:

Given functions,

f(x) = 3x + 1

g(x) = x^2 - 6

∵ (\frac{g}{f})(x) = \frac{g(x)}{f(x)}

By substituting the values,

(\frac{g}{f})(x)=\frac{x^2-6}{3x+1}

Which is a rational function,

We know that,

A rational function is defined for all real numbers except those for which denominator = 0,

If 3x+1 = 0

\implies 3x = -1

\implies x =-\frac{1}{3}

i.e. domain restriction of g/f is x≠ -1/3

Hence, OPTION D is correct.

You might be interested in
I am in need of help
kvv77 [185]
CAD= BAD
AD=AD( the same side of two angles).
8 0
3 years ago
A snowboarder is going down a mountain at a rate of 2000 feet per 20 minutes. At this rate how many feet will he have traveled a
Rudik [331]

Answer: 24,000 feet

Step-by-step explanation:

Well there is 60 minutes in an hour. So every 60 minutes you add by 6000

and 6000 x 4= 2400

:)

5 0
3 years ago
Witch algebraic expression has a term with a coefficient of 3
KonstantinChe [14]

Answer:

3x

Step-by-step explanation:

coefficient is the number before the variable

6 0
3 years ago
Base of a triangle is 15 height is 7 what is area of triangle
eimsori [14]

Answer:

b·h=105

Step-by-step explanation:

u multiply the base times the height

8 0
3 years ago
Can someone please help me I’m struggling
blagie [28]

Answer:

point form is (2,-1), equation form is x= 2, y=-1

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Tyler walks 1/4 miles in 1/12 hour. How many miles per hour is Tyler walking?
    7·2 answers
  • Please help me with number 21. And 22.
    12·1 answer
  • How do you write algebraic expressions to model quantities?
    6·2 answers
  • How do you solve this
    13·1 answer
  • * don’t mind the marks* please help asap ( 10 points)
    5·2 answers
  • A) draw the image of PQR after a 180 about the origin. Label the image P'Q'R
    14·1 answer
  • The sum of twice n and 5
    10·2 answers
  • Find the surface area of each figure.
    11·1 answer
  • What is the net force acting on a 3000kg sled that accelerated a 5 m/s2
    9·1 answer
  • AB is the mid segment of the isosceles trapezoid WXYZ solve for the length of AB
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!