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Pepsi [2]
3 years ago
10

How to show these 2 problems are inverses

Mathematics
1 answer:
nataly862011 [7]3 years ago
8 0
\bf \begin{cases}
f(x)=\sqrt[3]{7x-2}\\\\
g(x)=\cfrac{x^3+2}{7}
\end{cases}\\\\
-----------------------------\\\\
now
\\\\
f[\ g(x)\ ]\implies f\left[ \frac{x^3+2}{7} \right]\implies \sqrt[3]{7\left[ \frac{x^3+2}{7} \right]-2}\implies \sqrt[3]{x^3+2-2}
\\\\\\
\sqrt[3]{x^3}\implies x\\\\
-----------------------------\\\\
or
\\\\
g[\ f(x)\ ]\implies g\left[\sqrt[3]{7x-2}\right]\implies \cfrac{\left[\sqrt[3]{7x-2}\right]^3+2}{7}
\\\\\\
\cfrac{7x-2+2}{7}\implies \cfrac{7x}{7}\implies x

thus f[ g(x) ] = x indeed, or g[ f(x) ] =x, thus they're indeed inverse of each other
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Can someone please explain step by step on how I can get the answer? If so I’ll mark you brainliest
krok68 [10]

Answer:

3

Step-by-step explanation:

18 factors to 2, 3, 3

45 factors down to 5,3,3

6 0
3 years ago
A+b=77,a-b=13 care sun nr
STALIN [3.7K]
It's a simultaneous equation:
Steps:
1.Number the equations..

a+b=77 -1
a-b=13 -2

2. Choose what variable you want to use. In this case I would use the "b". Since the signs in front of the "b's" are different, add the two equations together

a + b = 77
+ + +
a (-b) = 13

Which gives;
2a = 90

Then solve to find a:
2a=90
a= 90/2
a=45

3.Then plug the "a" value into any of the original equations to find the "b" value. I would use equation 1 since the all the variables are positive.

a + b = 77
(45) + b = 77
b=77-45
b=32

4.Solution

a=45
b=32
3 0
3 years ago
I need help with math it’s urgent thanks
Artemon [7]

Answer:

(1, 3)

Step-by-step explanation:

 2x + 3y =  11      ------------(i)

-4x + 2y = 2        ------------(ii)

Multiply equation (i) by 2.

(i)*2              4x + 6y = 22

(ii)               <u>-4x  + 2y = 2</u>                  {Now add and x will be eliminated}

                            8y = 24

y= 24/8

y = 3

Plugin the value of y in equation (i)

2x + 3*3 = 11

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3 years ago
What equality is shown above
Bogdan [553]

Answer: If you see this line solid its > or equal too this > with line underneath

If you see line broken it's only >

Y>_ - 1/4x+2

Step-by-step explanation:

Starts at 2 on y then next pt go down 1 and 4 to the right

6 0
3 years ago
I don't understand this question, picture attached.
mina [271]

We can find this using the formula for arc length (where r is the radius of the circle and \theta is the central angle in radians):

\textrm{Arc Length} = r\theta


In our problem, we are given 12 = 8\theta. This means that:

\theta = \dfrac{12}{8} = \boxed{\frac{3}{2}}


The measure of the angle is 1.5.

5 0
4 years ago
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