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
KatRina [158]
3 years ago
12

For which pair of function is (g*f)(a)=|a|-2

Mathematics
2 answers:
asambeis [7]3 years ago
7 0

Answer:

The correct pair is 3

Step-by-step explanation:

1.

f(a)=a^{2}-4 , g(a)=\sqrt{a} \\gof(a)=g(a^{2} -4)\\=\sqrt{a^{2}-4 } \neq |a|-2

2.

f(a)=\frac{1}{2\cdot a-1}, g(a)=2\cdot a -2\\gof(a)=g(\frac{1}{2\cdot a-1} )\\=\frac{2}{2\cdot a-1}-2\\=\frac{4-2\cdot a}{2\cdot a-1}\neq|a|-2

3.

f(a)=5+a^{2} , g(a)=\sqrt{a-5} -2\\gof(a)=g(5+a^{2} )\\=\sqrt{5+a^{2}-5 } -2\\=\sqrt{a^{2} } -2\\=|a|-2

4.

f(a)=3-3\cdot a , g(a)=4\cdot a-5\\gof(a)=g(3-3\cdot a )\\=4(3-3\cdot a)-5\\=7-12\cdot a\neq|a|-2

Hence, the Option 3 is correct


tia_tia [17]3 years ago
5 0
None of the pairs will deliver (g×f)(a). If you intend (g∘f)(a), then ...

... selection 3 is appropriate.

You might be interested in
The diameter of a flour tortilla is 12 inches. What is the area to the nearest hundredth?
dimaraw [331]

3.14*d

3.14*12= 37.68

Rounded to the nearest hundredth would be 37.7

4 0
3 years ago
Read 2 more answers
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.
Natali [406]
The answer to what the length of the leg would be is 15.

You would do this problem by first writing down your Pythagorean Theorem, which is a^2 + b^2 = c^2.

Since we have our hypotenuse which is c^2 in our equation, we would write or insert the number we have.

So our equation could be that a or b leg equals 20, it doesn’t matter which one.

So we could write, 20^2 + b^2 = 25^2. So we don’t know what b leg is.

First we should figure out what 20^2 is and what 25^2 is.

20^2 is 400 and 25^2 is 625.

Our equation now comes to 400 + b^2 = 625.

Now we take 400 and subtract it from
625 -> 400 + b^2 = 625
-400.

So 625 - 400 comes out to be 225.

Lastly instead of squaring or putting 225 to the second power, we do the opposite.

So instead of squaring 225 we must square root 225. √ 225 .

The square root of √ 225 comes out to be 15.

3 0
3 years ago
a store is giving away $10 coupons to every 7th person to enter the store and a $25 coupon to every 18th person too emter the st
almond37 [142]
7,14,21,28,35,42,49,56,63,70,77,84,91,98,105,112,119,126
18,36,54,72,90,108,126 

So the first person to get both of them is the 126th person
3 0
3 years ago
Ejercicio 34 - College Board
NISA [10]
360 es un globo, ⭕️, 180 es un
7 0
3 years ago
If F(x) = 2 - xand w(x) = x - 2, what is the range of (w•p(x)?
hoa [83]

Answer:

Th Range is [0, -∞)

Step-by-step explanation:

f(x) = 2 - x

w(x) = x - 2

We want to find the range of (f * w)(x).

First, we need to find (f * w)(x), which is the multiplication of the function f(x) and the function w(x). Lets use algebra to find (f * w)(x):

(f*w)(x)=(2-x)(x-2)\\=2x-4-x^2+2x\\=-x^2+4x-4

This is a quadratic function (U shaped), or a parabola. The graph is attached.

The range is the set of y-values for which the function is defined.

We see from the graph that the parabola is upside down and the highest value is y = 0 and lowest goes towards negative infinity. So the range is from 0 to negative infinity. Or,

0 < y < ∞

In interval notation, that would be:

[0, -∞)

4 0
4 years ago
Other questions:
  • ***Please Help***
    11·1 answer
  • I kinda got confused on this one <br> 25z - 8z + (-3z)
    6·2 answers
  • Let x denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. suppose t
    7·1 answer
  • The square root of 281961?
    11·2 answers
  • Integer equivalent of 25 3/2
    9·1 answer
  • Solve only if you know the answer : 2/f * 5/8
    5·2 answers
  • Draw the image of ABC△ under a translation by 5 units to the left.
    9·1 answer
  • Find the slope of the line that passes through (8, 4) and (5, 2).
    9·2 answers
  • You have two different bottles of lotion. One weighs
    10·2 answers
  • Solve for x. 0.5(5 - 7x) = 8 - (4x - 6)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!