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
dimaraw [331]
3 years ago
5

Given f(x) 3x-1/2 solve for f^-1(4)

Mathematics
1 answer:
olga55 [171]3 years ago
5 0
First off, just to remind you, to get the "inverse relation" of any expression, you first do a quick switcharoo on the variables, and then solve for "y", or whatever the dependent is.  So let's do so.

\bf \stackrel{f(x)}{y}=3x-\cfrac{1}{2}\qquad inverse\implies \boxed{x}=3\boxed{y}-\cfrac{1}{2}
\\\\\\
x+\cfrac{1}{2}=3y\implies \cfrac{x+\frac{1}{2}}{3}=y\implies \cfrac{x+\frac{1}{2}}{\frac{3}{1}}=y\implies \left( x+\cfrac{1}{2} \right)\cfrac{1}{3}=y
\\\\\\
\cfrac{x}{3}+\cfrac{1}{6}=y\impliedby f^{-1}(x)\\\\
-------------------------------\\\\\cfrac{(4)}{3}+\cfrac{1}{6}=f^{-1}(4)\implies \cfrac{8+1}{6}=f^{-1}(4)\implies \cfrac{9}{6}=f^{-1}(4)
\\\\\\
\cfrac{3}{2}=f^{-1}(4)
You might be interested in
Please help me with this question please
saul85 [17]

Answer:

A

Step-by-step explanation:

7 0
2 years ago
A westbound train travels 16 miles per hour slower than the eastbound train. If two trains are 800 miles apart after 5 hours wha
lozanna [386]

Answer:

6

Step-by-step explanation:

The rate can be calculated as follows

x + x -16

2x-16

(2x-16)×5

10x - 80= 800

10x = 300-80

10x, = 220

x = 220/10

= 22

22-16

= 6 mph

Hence the rate of the west bound tsin is 6mph

7 0
3 years ago
A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle. The python is 2.6 pie meters lo
pogonyaev
1.3 meters because the radius is half of the diameter, which is 2.6
5 0
3 years ago
BRAINLIEST please help?
Gekata [30.6K]

Answer:

Scatterplot

Step-by-step explanation:

Bivariate data means that the data is in two variables. For example, if the height of the students is plotted against their age, this data will be the bivariate data.

A bivariate data is represented using the graph known as Scatter Plot. One variable is plotted along x-axis and second variable is plotted against y-axis. After plotting the two variables we can observe the relation(association) between the two variable using the line of best-fit which models the relation between the two variables.

So, the answer to this question is Scatterplot.

3 0
3 years ago
Perpendicular to y=1/2-1, x-intercept at4
AlexFokin [52]

Answer:

it would be Y= -2x+4

Step-by-step explanation:

To begin, we know that the b value is 4, because that is the x-intercept that is information given, so we can atomatically put that in.

Next we need to find the m value, which can be found by knowing the rules of a perpendicular eqution. to change it you must change the 1/2 and flip the equation and change the signs

soooooo  1/2 would change into 2/1   which is 2 and we would addd the negative sign so

Y=-2x+4

8 0
3 years ago
Read 2 more answers
Other questions:
  • The price of a box of 15 cloud markers is $12.70. The price of a box of 42 cloud markers is $31.60. All prices are without tax,
    5·2 answers
  • A dog weighs 64 pounds, he eats 3/4 cup of food twice a day. his food contains 429 kcal/cup and 6.5grams protein per 100 kcal of
    13·1 answer
  • Pls help meh need help
    11·2 answers
  • No. 27. Ignore the language. I'm indonesian n i'm trying to learn english using brainly usa
    15·1 answer
  • A toy has various shaped objects that a child is supposed to push through matching holes. The area of the square hole is 5 cm2.
    5·1 answer
  • PLZZZ HELPP 3+7 - 1/2 is an example of
    10·2 answers
  • Bottle D contains 12 ounces of water. What is the percentage of the amount of water in bottle B is this?
    5·1 answer
  • Which term is any number that can be shown as the quotient of two integers?
    6·2 answers
  • If a 30​-foot tree casts an 18​-foot ​shadow, find the length of the shadow cast by a 27-foot tree.
    7·1 answer
  • At a table tennis club, the ratio of boys to girls was 6:5. If there were
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!