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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.

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What is the volume, in cubic in, of a rectangular prism with a height of 8in, a width of 5in, and a length of 9in?
Maslowich

Answer:

360 in ^3

Step-by-step explanation:

The volume is given by

V = l*w*h

 = 8 * 5 * 9

  = 360 in ^3

3 0
2 years ago
Which equations apply the distributive property? Select each correct answer. 70⋅2.028=(70⋅1)+(70⋅0.02)+(70⋅0.008)70⋅2.028=(70⋅1)
Advocard [28]
I think is the first one
8 0
3 years ago
HURRY SOMEONE PLEASE HELP ME??!!!!!!!
goblinko [34]

Answer:

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7 0
3 years ago
why was the value of y for the function y =5x + 1 always be greater than that for the function y=4x+2 when x>1
Galina-37 [17]
Lets compare both equations so we can explain the reason for it, and see it clearly:
<span>y1 = 5x + 1 
</span><span>y2 = 4x + 2
y1 > y2
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</span>To see why that happens we need to solve for x:
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6 0
3 years ago
Melani has $3,106.12 in her back account on Wednesday. On Thursday she deposited $85 .On friday she spent $8.25 for lunch. What
lesya692 [45]

Answer:

Melanie's account balance now is $3182.87.

Step-by-step explanation:

Given:

Amount of money in her account = $3106.12

Amount deposited on Thursday = $85

Amount spent for lunch on Friday = $8.25

We need to find the remaining balance in Melanie's account.

Solution:

Now we know that;

Remaining balance in her account is equal to Amount of money in her account plus Amount deposited on Thursday minus Amount spent for lunch on Friday.

framing in equation form we get;

Remaining balance in her account = \$3106.12 +\$85 - \$8.25=\$3182.87

Hence Melanie's account balance now is $3182.87.

3 0
3 years ago
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