1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
You might be interested in
there are 300 student and teachers at a sports event.Grade k to 2 is students: 137 Grade 3 to 5 students: 145 Teachers: ? what i
AVprozaik [17]

Answer:

6%

Percentage of teachers = 6%

Step-by-step explanation:

Given;

Number of grade k-2 students = 137

Number of grade 3-5 students = 145

Total = 300

Number of teachers = 300 - (137+145) = 18

Percentage of teachers = (number of teachers÷total)× 100%

%T = (18/300) × 100

%T = 6%

8 0
3 years ago
The sum of two numbers is 72 the greater number is 8 more than the smaller number which equation can be used to solve for the sm
kobusy [5.1K]

Answer:

let x is the smaller number

bigger number is x + 8

The sum of two numbers is 72

so

x + (x+8) = 72

answer

x + (x + 8) = 72

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to: ^3✓- 64x^7y^12​
den301095 [7]
Sorry I don’t really know
3 0
3 years ago
£110 is divided between Stephen, Bridget & Caroline so that Stephen gets twice as much as Bridget, and Bridget gets three ti
faltersainse [42]

Answer:

I have no clue I really don't have no clue but you 10 divided by 3 and then you could double it by 2 and then after that you could develop by 3 and then that's how much Stephen get

3 0
2 years ago
By showing your work what is the answer to 0.96÷0.144=
gayaneshka [121]


Recognize that both 0.96 and 0.144 are divisible by 12:

(0.96/12) / (0.144/12) = 0.08 / 0.012.  This reduces to 0.02 / 0.003, or
20/3 or approx. 6.666.

You could also begin by eliminating the decimal fractions.  Mult. 0.96 and 0.144 each by 1000 results in 960/144.

Since both 960 and 144 can be divided evenly by 24, we get 40 and 6.
40/6 = 20/3, or approx. 6.666, as before.
7 0
3 years ago
Other questions:
  • Need help with perfect square! 40 points
    6·2 answers
  • Pizza Perfection sold 93 pieces on Monday 67 pizzas and Tuesday 78 pizzas on Wednesday 44 piece pizzas on Thursday and 123 pizza
    13·1 answer
  • Find a real number between the square root of 70 and the square root of 75.
    15·1 answer
  • 24y - 22 = 4 ( 6y - 6 )
    10·1 answer
  • An amount was shared in the ratio 8:6:9:14:12.The largest share was56.What was the total amount shared?
    7·1 answer
  • Juan ran the lemonade stand for 3 more days after his first day profit of $12. Each day, he used the money from sales to purchas
    15·2 answers
  • • 1.Find the scale factor of a blueprint if the scale is 3 inches = 6 feet.
    5·2 answers
  • Plz help me!<br> Solve: a + 0.35a = 56.7 Solve for a.
    12·2 answers
  • There are 39 students in Ms. Salazar's chemistry class. If Ms. Salazar divides the class into 9 lab
    12·1 answer
  • 4 pairs of pants for 22.60. what is the unit rate?​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!