All categories

3 years ago

What is the inverse of the function f(x) = x +3?

Mathematics

1 answer:

MAXImum [283]3 years ago

6 0

Answer:

f⁻¹(x) = x - 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Functions
Function Notation
Inverse Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x + 3

Step 2: Find

Swap: x = y + 3
[Subtraction Property of Equality] Isolate y: x - 3 = y
Rewrite: f⁻¹(x) = x - 3

You might be interested in

PLEASE HELP! Which of the following are monomials? Check all that apply.

mestny [16]

Answer:

f,c

Step-by-step explanation:

6 0

4 years ago

If c = d and b ≠ 0, then c∕b = d∕b represents the property of equality. Question 4 options: A) division B) multiplication C) add

sergejj [24]

Answer:

Property of equality division

Step-by-step explanation:

Given

c = d

b ≠ 0 then c∕b = d∕b

Required

State the property used

From list of options a through d, only option A best fits the description.

This is so because property of equality division is such that

given two variables c and d where c = d

$\frac{c}{b} = \frac{d}{b}$

Provided that b ≠ 0

Take for instance;

b = 2; c = 8 and d = 8;

This implies that

$c = d$

$8 = 8$

Divide both sides by 2 (assumed value of b)

$\frac{8}{2} = \frac{8}{2}$

$4 = 4$

8 0

3 years ago

A teacher collects data on the number of hours, s, his students spend studying and the number of hours, t, they spend watching T

Sidana [21]

Since there is a negative correlation, evident by the negative slope of the equation of the line given to be -0.5, if we take t as 0, we get an equation of,
s = 3.6
This means that if a student does not watch television, he or she spends a maximum of 3.6 hours studying.

5 0

3 years ago

Write an equation of the line that passes through the given points. (-1,7) (3,-9)

Novay_Z [31]

Answer:

x=13

hope you do well

5 0

3 years ago

Read 2 more answers

Write the next three terms of the following sequence:

Keith_Richards [23]

Answer:

21... 27.... 38...

Step-by-step explanation:

Add prime numbers to the number in alternate.

4 + 3 = 7

5 + 5 = 10

7 + 7 = 14

10 + 11 = 21

14 + 13 = 27

21 + 17 = 38

7 0

3 years ago