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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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Kira's fish caught more the first step to find the answer is find the common denominator so Floyds fish weighed 2/3 and Kira's was 7/8 take 8 X 3 = 24 so 24 is the common denominator now you have to take 2 X 8 =16 and 7 X 3 = 21 so Floyds fish is 16/24 and Kira's is 21/24 making Kira's the bigger fish
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3 years ago
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A Gasoline pump delivers 4 2/5 gallons of gas per minute. How many minutes will it take to fill a gas tank that holds 16 and 1/2
skelet666 [1.2K]

First lets put these numbers into improper fractions. 4 2/5 becomes 22/5 becomes we multiple the 4 by the denominator,5, and add to the dividend.

We do the same process with 16 1/2 and get 33/2.

We then need to set these equations so that they have the same base. In these case a common factor is 10.

We multiple our first equation by 2 and get 44/10, and then we multiple our second equation by 5 and get 165/10.


We then setup the equation (44/10)*x=165/10

We can multiple each side out by 10, leaving us 44x=165

Divide each side by 44, which leaves us with x=165/4

When you simiplify the problem we are left with x and our answer.


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5 0
2 years ago
Suppose a car is initially worth $20,000, and suppose that after one year, the car is now worth $18,673. Write an exponential fu
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2 years ago
Find the smallest power of 10 that will exceed M. Let M = 118,526.65902.
zavuch27 [327]

Answer:

The smallest power of 10 that will exceed M is 10^{6}.

Step-by-step explanation:

We can use the following approach to determine the smallest power of 10 that will exceed M. We can transform that number into scientific notation, which is of the form:

x.y \times 10^{n}, \forall \,x,y\in \mathbb{N}

Where:

x - Integer part, formed by a digit, which is of the highest order.

y - Decimal part, formed by a digit onwards.

n - Power grade.

The smallest power of 10 that will exceed M is 10^{n+1}

If M = 118,526.65902, then, the power grade is number of spaces that dot must be moved leftwards. In this case, dot must be moved 5 spaces on the left. The integer part is 1 and the decimal part is 1852665902. Then, the value of M in scientific notation is:

M = 1.1852665902\times 10^{5}

Then, the smallest power of 10 that will exceed M is 10^{6}.

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