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
stira [4]
3 years ago
15

If f(x)=x^4+6, g(x)=x-2 and h(x)= sqrt (x), then f(g(h(x)))=

Mathematics
1 answer:
patriot [66]3 years ago
3 0

Answer:

x^2 + 4x * (3 - sqrt(x)) - 2(5 + sqrt(x))

Step-by-step explanation:

Firstly let us split this up, we need to first work out what g(h(x)) is:

h(x) = Sqrt(x) so g(h(x)) = g(sqrt(x)) = sqrt(x) - 2

Now to work out f(g(h(x))) = f(sqrt(x) - 2) = (sqrt(x) - 2)^4 + 6

= (sqrt(x) - 2) * (sqrt(x) - 2) * (sqrt(x) - 2) * (sqrt(x) - 2) - 6

= (x - 2 * sqrt(x) + 4) * (x - 2 * sqrt(x) + 4) - 6

= x^2 - 2x * sqrt(x) + 4x - 2x * sqrt(x) + 4x - 8 * sqrt(x) + 4x - 8 * sqrt(x) + 16 - 6

= x^2 - 4x * sqrt(x)  + 12x - 16 * sqrt(x) + 10

= x^2 + 4x * (3 - sqrt(x)) - 2(5 + sqrt(x))

You might be interested in
Angles 1 and 5 are what type of angle pair? *
mojhsa [17]

Answer:

Angle 1 and Angle 5 are corresponding angles

Step-by-step explanation:

Two angles that lie on the same side of the transversal in corresponding positions.

PLZ mark BRAINLIEST

3 0
3 years ago
Read 2 more answers
What is the product?
zhenek [66]

Answer:

The answer is

negative 12 s squared + 11 s t minus 2 t squared

Step-by-step explanation:

( - 3s + 2t)( 4s - t)

Expand the terms

We have

- 12s² + 3st + 8st - 2t²

Simplify

We have the final answer as

<h3>- 12s² + 11st - 2t²</h3>

Hope this helps you

4 0
3 years ago
Read 2 more answers
Find the image of P(–2, –1) after two reflections; first Ry=−5(P), and then Rx=1(P1).
alexdok [17]
Answer: third choice (4 - 9).

Explanation:

1) The first reflection, Ry = - 5, means a reflection is across the line y = - 5

2) Since the point P has y-coordinate  - 1, its discance to the line y = - 5 is 4 units (P is located 4 units upper the line y = - 5).

Then, the reflection of the y-coordinate will be 4 units below the line y = - 5, which is -5 - 4 = - 9,

Therefore, the y-coordinate of the image is - 9.

3) The second reflection, Rx = 1, means a reflection across the line x = 1.

4) Since the point P has x-coordinate - 2, its distance to the line x = 1 is 3 units (P is located 3 units to the left of the line x = 1).

Then, the reflection of P will be 3 units to the right of the line x = 1.

That is 1 + 3 = 4.

Therefore, the x-coordinate of the image is 4.

5) You have obtained the x and y - coordinates of the image, x = 4 and y = -9, that is (4, - 9) which is the third choice.
8 0
3 years ago
Determine the function's value when x = -1.
svp [43]
It is option c. Because when we substitute x for -1 we get the remainder as 1.
8 0
3 years ago
10 points please help! Thanks in advance!
meriva
Pretty positive it's D
5 0
2 years ago
Read 2 more answers
Other questions:
  • You are given the equation \sqrt{76+n } and \sqrt{2n + 26}. What is the smallest value of n that will make each number rational?
    15·1 answer
  • A college has a student to teacher ratio of 35 to 2. If there are 186 teachers at the college, how many students attend the coll
    7·2 answers
  • Jane buys candy that cost $8 per pound. She will spend more than $48 on candy. What are the possible numbers of pounds she will
    7·2 answers
  • Solve. 10x^2 = 6 + 9x10x 2 =6+9x10, x, start superscript, 2, end superscript, equals, 6, plus, 9, x Choose 1 answer: Choose 1 an
    8·2 answers
  • $30.50 - $17.79= <br> Solve this problem in two diffrent ways (5th grade math)
    10·1 answer
  • How do you find percentage lost
    8·2 answers
  • 7. Big screen TV's are typically classified by the
    10·1 answer
  • Which number line represents the solution to the inequality –4w + 7 &lt; 75 ?
    6·1 answer
  • Napoleon Crossing the Alps
    12·2 answers
  • 3z+8=20<br> Answer <br> 4<br> 10<br> 8<br> 13
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!