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
labwork [276]
3 years ago
8

And the inverse of f(x) = 3x²-5x+7 ​

Mathematics
1 answer:
iren2701 [21]3 years ago
4 0

Answer:

inverse of the function x² - 3x + 7 is [5 ± √(12x - 59)] /6.

Step-by-step explanation:

Let f(x) = y → f-¹y = x → g(y) = x

We need a function g which gives x for g(y).

=> f(x) = y

=> 3x² - 5x + 7 = y

=> x² - x(5/3) + (7/3) = y/3

=> x² - 2x(5/6) + (7/3) = y/3

=> x² - 2x(5/6) + (5/6)² + (7/3) = y/3 + (5/6)²

=> (x - 5/6)² + 7/3 = (y/3 + 25/36)

=> (x - 5/6)² = y/3 + 25/36 - 7/3

=> (x - 5/6)² = (12y + 25 - 84)/36

=> x - 5/6 = ± √(12y - 59) /6

=> x = [ 5 ± √(12y - 59) ]/6

=> x = g(y)

Hence, inverse of the function x² - 3x + 7 is [5 ± √(12x - 59)] /6.

You might be interested in
(30 points!) Which equation of the least squares regression line most closely matches the data set?
snow_tiger [21]
4. it makes the most sense to me.

3 0
3 years ago
Read 2 more answers
Is the gcf of any two ever numbers always even
Dmitry [639]
Yes, I believe it is 

3 0
3 years ago
Find a ratio equivalent to 15/60
Flauer [41]

Answer:

\large\boxed{\dfrac{15}{60}=\dfrac{5}{20}=\dfrac{3}{12}=\dfrac{1}{4}}

or

\large\boxed{\dfrac{15}{60}=\dfrac{30}{120}=\dfrac{45}{180}=\dfrac{60}{240}}

Step-by-step explanation:

Divide the numerator and the denominator by the same number:

\dfrac{15}{60}\\\\=\dfrac{15:5}{60:5}=\dfrac{3}{12}\\\\=\dfrac{15:3}{60:3}=\dfrac{5}{20}\\\\=\dfrac{15:15}{60:15}=\dfrac{1}{4}\\\vdots

or

Multiply the numerator and the denominator by the same number:

\dfrac{15}{60}\\\\=\dfrac{15\cdot2}{60\cdot2}=\dfrac{30}{120}\\\\=\dfrac{15\cdot3}{60\cdot3}=\dfrac{45}{180}\\\\=\dfrac{15\cdot4}{60\cdot4}=\dfrac{60}{240}\\\vdots

7 0
2 years ago
Read 2 more answers
3. 40% of x is 35. Write an equation. Then use your equation to find x.​
MrRissso [65]

Answer: x =  87.5

................

5 0
2 years ago
Read 2 more answers
#14 i
ivann1987 [24]

Answer:

Incorrect/No

Step-by-step explanation:

7x2=14

-7x2=-14

<u>Follow the below guidelines:</u>

  • A positive number times a positive number is a positive number
  • A negative number times a positive number is a negative number
  • A positive number times a negative number is a negative number
  • A negative number times a negative number is a positive number

Looking at the last one, we see that -2x-7=14, a positive number

Hope this helps!

--Applepi101

7 0
2 years ago
Other questions:
  • Solve for w <br> p=2(l+w)
    7·1 answer
  • A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?
    9·2 answers
  • 5^2x * 5^3 =5^9 what is x please help
    15·1 answer
  • 14 subtracted from a number, divided by 3, equals -8. Just write the equation if you want plzzzz
    8·1 answer
  • Find the slope and y-intercept of this linear function:<br> 2x + x = 4(y - 1)
    15·1 answer
  • Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a coordinate plane. a. ​(0,0), ​(16
    11·1 answer
  • Plz help very important question!!
    10·2 answers
  • Find the perimeter of the figure. AND I'LL MAKE YOU THE BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·1 answer
  • Can someone plz help with this? Thank you so much.
    12·2 answers
  • Calculate problems one and two.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!