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Sergeu [11.5K]
3 years ago
5

Please help!posted picture of question

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0
( \frac{f}{g})(x) means the ratio of f(x) with g(x) i.e. function f(x) divided by the function g(x).

( \frac{f}{g})(x)= \frac{f(x)}{g(x)} \\  \\ 
= \frac{4x+1}{ x^{2} -5}

The correct option is B.
The restriction of the domain is made so that the denominator is never zero and the expression is never undefined. In case of such questions, domain must be taken into account. 

You might be interested in
Simplify this rational expression. 2x^2+5x+3/2x^2-x-3
Murljashka [212]

Answer:

2x+3/2x-3

Step-by-step explanation:

firstly we make two steps to simplify this question.

1st step: simplify 2x^{2} +5x+3

to simplify this we use factorization

2x^{2} +2x+3x+3

2x(x+1) +3(x+1)

(2x+3) (x+1)        .....(1)

2nd step:simplify 2x^{2} -x-3

2x^{2} +2x-3x-3

2x(x+1)-3(x+1)

(2x-3)(x+1)          .....(2)

now dividing (1) and  (2), we get the answer

2x+3/2x-3

5 0
2 years ago
If G is a 3 x 4 matrix and His a 4x 3 matrix, what is the dimension of GH?
Neko [114]

Answer:

3x3

Step-by-step explanation:

G is a 3 x 4 matrix and His a 4x 3 matrix

In multiplication of matrix a particular formula is used

If G = MN and H = NM then GH = MM

So G= 3x4 and H = 4x3

Then GH = 3x3

The above rule is a rule that binds matrix multiplication and allows for an easier calculations and also helps check the possibility of the multiplication.

As for the above, the multiplication is possible an the result of the multiplication will give us a 3x3 matrix

6 0
3 years ago
Determine whether each table represents a linear quadratic or exponential function
Kryger [21]

Answer:

Table A: exponencial function

Table B: quadratic function

Table C: linear function

Step-by-step explanation:

Table A:

for x from 1 to 2, Y increased by 6

for x from 2 to 3, Y increased by 18

for x from 3 to 4, Y increased by 54

So we can see that the values of Y are being multiplied by 3 for each increment of x, so this table represents an exponencial function.

Table B:

for x from 1 to 2, Y increased by 6

for x from 2 to 3, Y increased by 10

for x from 3 to 4, Y increased by 14

The increment of Y is higher than a linear increment and smaller than an exponencial increment, so this is the quadratic function.

Table C:

for x from 3 to 6, Y increased by -2

for x from 6 to 9, Y increased by -2

for x from 9 to 12, Y increased by -2

The increment of Y is constant for the same increment of X, so this is a linear function.

7 0
3 years ago
A recipe requires 5 cups of sugar you can only measures using 3/4 cups how many 3/4 cups are needed for the recipe leave the ans
Firdavs [7]

Answer:

Step-by-step explanation:

5 / (3/4) =

5 * 4/3 =

20/3 <==== I left it as an improper fraction

6 0
2 years ago
You want a snack. One small pear has 100 calories. A small plum has 45 calories. What is the ratio of the calories in a plum to
Anvisha [2.4K]
The ratio would be
45/100
45 to 100
45:100


Hope this helps!
7 0
3 years ago
Read 2 more answers
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