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
Plz help asap thank you​
attashe74 [19]

Answer:

Solved using the <u>Exterior angle theorem</u>.

2x-5+x-17 = 128

3x-22 = 128

3x = 150

x = 50

8 0
2 years ago
Please help with this question it is super important
Lunna [17]

Answer:

P=7

Step-by-step explanation:

3 0
3 years ago
How to substitute x=-2 and x=5 into 2x^2+6-20=0 to check my work
Komok [63]
First answer (x=-2)
...
(2)[(-2)^2]+6-20
2(4)+6-20
8+6-20
14-20
<em>-6 (answer)
</em><em>
</em><em />Second answer (x=5)
...
(2)[(-5)^2]+6-20
2(25)+6-20
50+6-20
56-20
<em>36 (answer)
</em>Hope this helps!
4 0
3 years ago
Help me please giving more than 5 points!
Scilla [17]
To find the median you need to lay out all the answers by lowest to highest. Then, you’ll need to find the number that’s in the middle and that’s the median. However, if there’s 2 middle numbers you’ll need to add them then divide it by 2 and that’s the median.
5 0
2 years ago
Read 2 more answers
Could someone please help me with this question? 15 points.
polet [3.4K]
1a) f(x) = I x+2 I. This is a piece-wise graph ( V form)
      x = 0 →f(x) =2 (intercept y-axis)
      x = -2→f(x) = 0 (intercept x-axis)
      x = -3→f(x) = 1 (don't forget this is in absolute numbers)
      x = -4→f(x) = 2 (don't forget this is in absolute numbers)
Now you can graph the V graph

1b) Translation: x to shift (-3) units and y remains the same, then
      f(x-3) = I x - 3 + 2 I = I x-1 I
     the V graph will shift one unit to the right, keeping the same y. Proof:
     f(x) = I x-1 I . Intercept x-axis when I x-1 I = 0, so x= 1
8 0
3 years ago
Other questions:
  • Please help me, I really need help. I will mark brainliest answer!! A bald eagle can eat 3.85 kilograms of fish in a week. The e
    7·2 answers
  • Evaluate the quotient of 1.05 x 10^3 and 1 x 10^3
    9·1 answer
  • I'm confused on this one ??
    14·1 answer
  • Find the standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8.
    10·2 answers
  • The scale factor of the volume of two cubes is 8 to 27. What is the scale factor of the sides of the cubes?
    8·1 answer
  • Which function has a vertex on the y axis? A. f(x) = (x-2)^2 B. f(x) = x(x+2) C. f(x) = (x-2)(x+2) D. f(x) = (x+1)(x-2)
    9·1 answer
  • I cant seem to get the answer right, please help me!!!
    10·2 answers
  • 3)<br> 6 cm<br> 5 cm<br> I<br> 7 cm<br> 5 cm<br> 6 cm
    10·1 answer
  • In rectangle ABCD, AB = 18, BC = 24, and AECF is a rhombus. Find FD. The figure is not drawn to scale.
    7·1 answer
  • Help to solve , please
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!