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3 years ago

(2m^4) • m3 Need help ASAP I have the answer but I need help showing work

Mathematics

2 answers:

hichkok12 [17]3 years ago

4 0

Answer:

4m^11

Step-by-step explanation:

2m^4.2 you multiply powers in paranthesis

2m^8 result

2m^8.m^3

You add the exponents together because it is same base and put the 4 because 2 to the power of 2 is 4

4m^11

Pepsi [2]3 years ago

3 0

Answer: 4 $m^{11}$

Step-by-step explanation:

(2m^4)^2 * m^3

Expand

$2^{2} * m^{8} *m^{3}$ add the exponents since they have the same base

$4m^{11}$

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liraira [26]

Answer:

Option 3 - f(x)= 4x, $g(x) = \frac{1}{4}x$

Step-by-step explanation:

To find : Which two functions are inverses of each other?

Solution :

Two functions are inverse if $f(g(x))=x=g(f(x))$

Now, we find one by one

1) f(x)= x, g(x) = -x

$f(g(x))=f(-x)=-x\neq x$

Not true.

2) f(x)= 2x, $g(x) = -\frac{1}{2}x$

$f(g(x))=f(-\frac{1}{2}x)=2\times(-\frac{1}{2}x)=-x\neq x$

Not true.

3) f(x)= 4x, $g(x) = \frac{1}{4}x$

$f(g(x))=f(\frac{1}{4}x)=4\times(\frac{1}{4}x)=x$

$g(f(x))=f(4x)=\frac{1}{4}\times 4x=x$

i.e. $f(g(x))=x=g(f(x))$ is true.

So, These two functions are inverse of each other.

4) f(x)= -8x, $g(x) =8x$

$f(g(x))=f(8x)=8\times(-8x)=-64x\neq x$

Not true.

Therefore, Option 3 is correct.

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3 years ago