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
rewona [7]
1 year ago
12

What is the inverse of f(x)=x^4+7 for x>0 where function g is the inverse of function f? -

Mathematics
1 answer:
Ann [662]1 year ago
7 0

Answer:

g(x) = \sqrt[4]{x-7},~ x\geq 7

Step by step explanation:

y= f(x) = x^4+7\\\\\text{Replace x with y and solve for y:}\\\\~~~~~~~x = y^4 +7\\\\\implies y^4 = x-7\\\\\implies y = \pm\sqrt[4]{x-7}\\\\ \implies f^{-1}(x) = \pm\sqrt[4]{x-7}

You might be interested in
When the ? method , interest is charged only on the balance remaining in your account ?
julia-pushkina [17]
I think the answer is unpaid balance
5 0
2 years ago
H(x) = x^2 + 1 k(x) = x – 2<br> (h + k)(2)=?
likoan [24]
First we will compute the h+k and then multiply the result by 2.
To add polynomials, we add terms whose variables are alike, for example:
we add the coefficients of x^2 together, the coefficients of x together and so on.

Therefore:
h + k = x^2 + 1 + x - 2 = x^2+x-1

Now, we will multiply this answer by 2 to get the final answer:
2(h+k) = 2(x^2+x-1) = 2x^2 + 2x -2
6 0
3 years ago
One number is eight less than three times another number. If the sum of the numbers is 20, find the numbers.
mamaluj [8]

Answer:

7 & 13

Step-by-step explanation:

Let the first number be x

2nd number = 8 less than 3 times the other

2nd number = 3x - 8

Their sum = 20

X + 3x - 8 = 20

4x -8 = 20

Collect like terms

4x = 20+8

4x = 28

Divide both sides by 4

4x/4 = 28/4

X = 7

First number = 7

2nd number = 3x - 8

= 3(7) - 8

= 21 -8

= 13.

Therefore the numbers are 7 and 13

Pls mark as brainliest

4 0
3 years ago
5.5 + 2.1x + 3.8x – 4.1
lozanna [386]

Answer:

5.9x + 1.4

Step-by-step explanation:

5.5 + 2.1x + 3.8x - 4.1

= 5.9x + 1.4

4 0
2 years ago
Read 2 more answers
What are the roots of the polynomial equation x3-7x=6x-12?
Ilia_Sergeevich [38]
This is not a polynomial equation unless one of those is squared.  As it stands x=-.833.  If you can tell me which is squared I can help solve the polynomial.

Ok, that is usually notated as x^3 to be clear.   I'll solve it now.

x^3-13x-12=0

Then use factor theorum to solve x^3-13x-12/x+1 =0
So you get one solution of x+1=0
x=-1

Then you have x^2-x-12 now you complete the square.

Take half of the x-term coefficient and square it. Add this value to both sides. In this example we have:

The x-term coefficient = −1

The half of the x-term coefficient = −1/2

After squaring we have (−1/2)2=1/4

When we add 1/4 to both sides we have:

x2−x+1/4=12+1/4

STEP 3: Simplify right side

x2−x+1/4=49/4

STEP 4: Write the perfect square on the left.

<span>(x−1/2)2=<span>49/4
</span></span>

STEP 5: Take the square root of both sides.

x−1/2=±√49/4

STEP 6: Solve for x.

<span>x=1/2±</span>√49/4

that is,

<span>x1=−3</span>

<span>x2=4</span>

<span>and the one from before </span>

<span>x=-1</span>

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the best approximation for the area of a circle with a diameter of 19 meters?
    9·2 answers
  • PLS HELP ME I WILL GUVE YOU BRAINLIST AND A THANK YOU!!!!!
    10·2 answers
  • Which of the following is equivalent to 14x2 + 35x when it is completely factored? 7x(2x + 5)
    15·2 answers
  • There were 32 adults and 4 children in line at the movie theater. How many times more adults were in the line than children?
    6·2 answers
  • HALPPPPP SHOW WORK PLZZZZZZZZZZZZZ
    14·1 answer
  • Somebody please help me out.
    14·1 answer
  • (take π =22/7). capacity of a solid cylinder with height 5cm and diameter of 6cm.​
    14·1 answer
  • Solve the quadratic equation 3x²+2x-4=0
    7·1 answer
  • Saved
    14·1 answer
  • The number of hamburger sales per week at a fast food restaurant is 350. The number of weekly sales goes down by 30. 0 hamburger
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!