3 years ago

Plz help me with this

Mathematics

1 answer:

Advocard [28]3 years ago

7 0

Step-by-step explanation:

numbers 1 4 and 7

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PLEASE HELP ASAP <br>are f(x)=4/x-2-1 and g(x)=3/x+2-2 inverses of each other?

GREYUIT [131]

Answer:

To find the inverse of:

$f (x)=\dfrac{4}{x-2}-1$

Set the function to y:

$\implies y=\dfrac{4}{x-2}-1$

Rearrange to make x the subject:

$\implies y+1=\dfrac{4}{x-2}$

$\implies (y+1)(x-2)=4$

$\implies xy-2y+x-2=4$

$\implies xy+x=2y+6$

$\implies x(y+1)=2y+6$

$\implies x=\dfrac{2y+6}{y+1}$

Swap x and y:

$\implies y=\dfrac{2x+6}{x+1}$

Change y to the inverse of the function sign:

$\implies f$ $\:^{-1}(x)=\dfrac{2x+6}{x+1}$

Rewrite g(x) as a fraction:

$g(x)=\dfrac{3}{x+2}-2$

$\implies g(x)=\dfrac{3}{x+2}-\dfrac{2(x+2)}{x+2}$

$\implies g(x)=\dfrac{3-2(x+2)}{x+2}$

$\implies g(x)=\dfrac{3-2x-4}{x+2}$

$\implies g(x)=-\dfrac{2x+1}{x+2}$

Therefore, as the inverse of f(x) ≠ g(x), the functions are NOT inverses of each other

4 0

2 years ago

5(2x+1)=3(x+4)-5. What is x

hoa [83]

Answer:

x = 2/7

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable

6 0

3 years ago

Find the solutions to the equation below x^2-25=0

Arlecino [84]

Answer:

x=5,x=-5

Step-by-step explanation:

The screenshot below will explain the answer

3 0

4 years ago

Read 2 more answers

What is the value of y?

Colt1911 [192]

The answer is 14. The two lower angles are 50 each 100 total and so the top angle must equal 80. If you set it equal to 80 you get 14.

4 0

4 years ago

Will give Brain please help

erastovalidia [21]

Answer:

Step-by-step explanation:

3(x+3)=4(4+2)

3x+9=24

3x=15

x=5

Have a good day!

5 0

3 years ago