All categories

3 years ago

Is f(x)=5x and g(x)=x/5 inverse of each other?

Mathematics

1 answer:

Nana76 [90]3 years ago

3 0

Answer:

Yes it is!

Step-by-step explanation:

You might be interested in

What is the following product? <br>(4x square root 5x^2 + 2^2 square root 6)^2

tangare [24]

The product is $104 x^{4}+16 \sqrt{30} x^{4}$

Explanation:

The given expression is $\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}$

We need to determine the product of the given expression.

First, we shall simplify the given expression.

Thus, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x \sqrt{5} x+2 x^{2} \sqrt{6}\right)^2$

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)^2$

Expanding the expression, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)$

Now, we shall apply FOIL, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}\right)^{2}+2 ( 2 x^{2} \sqrt{6})(4 x^{2} \sqrt{5})+\left(2 x^{2} \sqrt{6}\right)^{2}$

Simplifying the terms, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=16 \cdot 5 x^{4}+16 \sqrt{30} x^{4}+4 \cdot 6 x^{4}$

Multiplying, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=80 x^{4}+16 \sqrt{30} x^{4}+24 x^{4}$

Adding the like terms, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=104 x^{4}+16 \sqrt{30} x^{4}$

Thus, the product of the given expression is $104 x^{4}+16 \sqrt{30} x^{4}$

7 0

3 years ago

4,12,36,108,324 identify the pattern

defon

Each number is being multiplied by 3.

4 0

3 years ago

5m+100=2m+10 . what is the value of m ?

kkurt [141]

The value of m is -30 because once you get m on the one side the equation is 3m=-90 and once you divide -90 by 3 you get m=-30.

6 0

3 years ago

Read 2 more answers

12. The sales tax in Marvin's city is 7.33%. He bought a video game system for $299 and 2 games at $49 apiece. What was his tota

katen-ka-za [31]

Answer:

$426

Step-by-step explanation:

Step one:

given data

He bought a video game system for $299

2 games at $49 apiece= 2*49= $98

total cost = 299+98=$397

tax= 7.33%

=7.33/100*397

=0.0733*397

=29.1001

total cost = 29.1001+397

=$426

4 0

3 years ago

The number of lattes sold daily by two coffee shops is shown in the table. Shop A Shop B 55 45 52 42 56 57 48 48 57 11 30 10 45

Georgia [21]

Answer:

The correct option is mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric

Step-by-step explanation:

According to the given data the correct statement is Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric.

Note that the two values of Shop B (10 and 11) are alot lower than the other values.

Thus the correct option is Mean for shop A and Median for shop B...

3 0

4 years ago