ValeriaX28737 ValeriaX28737
  • 03-11-2022
  • Mathematics
contestada

Find the inverse of the function. g(x)= -5x – 20/7

Respuesta :

OneilL194718 OneilL194718
  • 03-11-2022
Answer:[tex]g^{-1}(x)=\frac{-7x-20}{5}[/tex]

Explanation:

Given the function:

[tex]g(x)=\frac{-5x-20}{7}[/tex]

To find the inverse function, let us first write it as:

[tex]y=\frac{-5x-20}{7}[/tex]

Make x the subject of the equation

[tex]\begin{gathered} -5x-20=7y \\ -5x=7y+20 \\ x=\frac{-7y-20}{5} \end{gathered}[/tex]

Replace x by y, and y by x to obtain the inverse function

[tex]y=\frac{-7x-20}{5}[/tex]

Where

[tex]y=g^{-1}(x)[/tex]

Answer Link

Otras preguntas

Which is precisely defined using the undefined terms point and plane?
Is LiOH soluble or insoluble? Is Na2CO3 soluble or insoluble? Cu(OH)2 soluble or insoluble?
the law of cosine is c2 = a2 + b2 – 2ab cos C. find the value of 2ab cos C
air bags will deploy no matter which side your car is hit true or false
If a year only had 364 days then we could use the same calendar every year. But actually most years have 365 days, and a leap year has 366 days. For the relevan
What organizations were created as a result of poor working conditions?
In which country of east asia has confucian philosophy had the least influence?
Daniella believes that behavior is shaped and molded within relationships, and that rewarding and punishing interactions affect future behavior and judgments of
What will likely happen to liquid water when the surrounding environment is unsaturated?
What is the second largest english speaking country?