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Harrizon [31]
3 years ago
11

What is the inverse function of d(x ) = -2x - 6?

Computers and Technology
1 answer:
PtichkaEL [24]3 years ago
7 0

Answer:

-\frac{x}{2} - 3

Explanation:

d(x) = -2x - 6

to find the inverse of a function, you need to follow these steps:

1. set d(x) = y

2. interchange the variables, so y becomes x and x becomes y

3. solve the equation for y

<u>step 1:</u> set d(x) = y

y = -2x -6

<u>step 2:</u> interchanging the variables

y = -2x - 6 turns into x = -2y - 6

<u>step 3:</u> solving for y

x = -2y - 6 < add 6 to both sides to get rid of it on the right

x + 6 = -2y < divide both sides by -2 to get y alone

x + 6 / -2 = -\frac{x}{2} - 3

-2y / -2 = y

-\frac{x}{2} - 3 = y

so the inverse of the function is -\frac{x}{2} - 3

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The program to this question as follows:

Program:

score=int(input("Enter your percentage: ")) #input grade by user

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if 95<=score <= 100: #if value in between 95 to 100

   grade = 'A+' #assign grade

elif 90 <=score <= 94: #elif value in between 90 to 94

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elif 80 <=score <= 89:  #elif value in between 80 to 89

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elif 70 <=score <= 79:  #elif value in between 70 to 79

   grade = 'B' #assign grade

elif 60 <=score <= 69:  #elif value in between 60 to 69

   grade = 'C+' #assign grade

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In the above python code, a variable "score" is defined, this variable is used for taking value from the user end. In the next step if-elif-else conditional statement is used, this statement is used when a group of statements is given in which one is true. The if block check score value is between 95-100 if this is true it will print A+.

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  • In the fifth block, if value in between 50-59. It will print C.
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