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
shepuryov [24]
3 years ago
14

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g circle h) (5)?

Mathematics
2 answers:
Tema [17]3 years ago
8 0
<h3>Answer:  4</h3>

=====================================================

Work Shown:

(g \circ h)(x) = g(h(x))

g(x) = x^2\\\\g(h(x)) = (h(x))^2 \ \text{replace every x with h(x)}\\\\g(h(x)) = (x-7)^2 \ \text{replace h(x) with x-7}\\\\(g \circ h)(x) = (x-7)^2

Now plug in x = 5

(g \circ h)(x) = (x-7)^2 \\\\(g \circ h)(5) = (5-7)^2 \\\\(g \circ h)(5) = (-2)^2\\\\ (g \circ h)(5) = 4

---------------------

Alternative approach:

h(x) = x-7

h(5) = 5-7

h(5) = -2

So this means

g(h(5)) = g(-2)

and

g(x) = x^2

g(-2) = (-2)^2

g(-2) = 4

Therefore making

g(-2) = g(h(5)) = (g \circ h)(5) = 4

Contact [7]3 years ago
5 0

Answer:

(5 – 7)2

Step-by-step explanation:

(5 – 7)2 equals 4

You might be interested in
Please help me. What are the correct numbers in this photo?
Marta_Voda [28]

Answer:

5 : the number is divisible by 5 because the divider ends with a 5

3: the number is divisible by 3 because the sum of all the digits of the divider are visible by 3.

6 0
2 years ago
Drag and drop the steps to show the process for finding the inverse of the function below.
lilavasa [31]

Answer

h^-1(x)= x+43

Explanation

h(x)=x-43

Use substitution

y=x-43

Interchange the variables

x=y-43

Swap the sides

y-43=x

Move the constant to the right

y=x+43

Use substitution

h^-1(x)=x+43

4 0
2 years ago
Which pair of triangles can be proven similar?
sladkih [1.3K]

Answer:l and ll

Step-by-step explanation:

8 0
3 years ago
Sla square field has an area of 12,382m², calculate it's side length. show your work​
shepuryov [24]

Answer:

side = 111.274........

Explanation:

area of square = side × side

means we're finding area by finding square of side.

now, we're finding side. so, we'll do the opposite of square, which means square root.

side  =  \sqrt{area}

so,

side  =  \sqrt{12382}

side = 111.274........

please mark BRAINLIEST!

3 0
1 year ago
Suppose f has absolute minimum value m and absolute maximum value M. Between what two values must 7 f(x) dx 4 lie?Which property
mr Goodwill [35]

Answer:

3m ≤ ∫ f(x) dx ≤ 3M, at limit of b, a

Step-by-step explanation:

Like the question asked, which property of integral was used.

Property 8 of integrals was the basis upon which the question was solved.

6 0
3 years ago
Other questions:
  • What is 5 medium apples divided by 475 calories?
    13·1 answer
  • 5x + y = 9<br> 10x − 7y = −18
    14·1 answer
  • The initial size of a bacteria future that grows exponentially was 10,000. After 1 day, there are 15,000 bacteria... how long wi
    15·1 answer
  • How long is a elaphants head
    15·1 answer
  • A teepee has a circular floor with a diameter of 4 yards. What is the floors circumference
    11·1 answer
  • I need help with this problem.
    5·1 answer
  • which function has the greater y intercept f(x)=6x^2+18x+3 A.f had a greater y intercept than g B g had a greater y intercept th
    14·1 answer
  • The height of the triangle is
    5·1 answer
  • Find y. round to the nearest tenth:
    14·1 answer
  • Construct a quadratic equation whoose root are <br>1 √7-2 and √7+2​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!