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Ivahew [28]
3 years ago
5

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y=

7D" id="TexFormula1" title="\frac{2}{x^2}" alt="\frac{2}{x^2}" align="absmiddle" class="latex-formula">+3
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
6 0

Answer:

One possible answer is:

f(x) = (2/x) + 3 and g(x) = x².

Step-by-step explanation:

Explanation:

We are to write this equation as y = f(g(x)).  This means we want it to be a composite of functions; in f(x), we take the value of g(x) and use in place of x.

If we let g(x) = x², this means everywhere we see an x in f(x), we will replace it with x².  To make our equation y = 2/x² + 3, working backward we would substitute x for x²; this would give us f(x) = 2/x + 3.

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I'm doing simplifying expressions with exponents
VladimirAG [237]

Answer:

Expressing a number in a power of 2 means that you have to figure out how many times you should multiply 2 by itself so the product will be that number.

The number is expressed as 2^n

For example:

Express 16 as a power of 2:

To get 16, you have to multiply 2 by 4 times.

2 × 2 × 2 × 2 = 16

16 = 2^4

Then the answer is 2^4

7 0
2 years ago
PLEASE HELP! Doing a geometry crossword...
Irina-Kira [14]
Hey what part of geomatry are u doing
7 0
3 years ago
The area of this rectangle is 4x2
meriva

Answer:

8 units squared.

Step-by-step explanation:

Assuming the numbers are the length and width, we can use the formula for finding the area of the rectangle.

The area should be eight units squared.

a = l * w\\a = 4 * 2\\a= 8

3 0
3 years ago
Pls give an explanation w your answer
Shalnov [3]
a^{\frac{1}{n}}=\sqrt[n]{a}\\\\\left(a^n\right)^m=a^{n\cdot m}\\\\a^n\cdot a^m=a^{n+m}
therefore
64^\frac{1}{4}=\left(2^6\right)^\frac{1}{4}=2^{6\cdot\frac{1}{4}}\\\\=2^\frac{6}{4}=2^{1\frac{2}{4}}=2^{1+\frac{2}{4}}=2\cdot2^\frac{2}{4}\\\\=2\sqrt[4]{2^2}=2\sqrt[4]4
Other method:
64^\frac{1}{4}=\sqrt[4]{64}=\sqrt[4]{16\cdot4}=\sqrt[4]{16}\cdot\sqrt[4]4=2\sqrt[4]4


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4 0
2 years ago
Read 2 more answers
Ralph is 3 times as old as Sara. In 4 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now. If x re
tino4ka555 [31]

Answer:

2x + 4

Step-by-step explanation:

Let R = Ralph's age

and x = Sarah's age

          Then Ralph's age in 4 years = R + 4

       and Sarah's age in four years = x + 4

Thus,                                       R + 4 = 2(x + 4)

Distribute the 2                      R + 4  =     2x + 8

Subtract 4 from each side     R        =     2x + 4

Ralph's age is 2x + 4.

3 0
3 years ago
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