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3 years ago

Given f(x)=3x-1, solve for x when f(x)=-7.

Mathematics

1 answer:

ddd [48]3 years ago

8 0

Answer:

x = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 1

f(x) = -7

Step 2: Solve for x

Substitute: -7 = 3x - 1
Isolate x term: -6 = 3x
Isolate x: -2 = x
Rewrite: x = -2

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Graph the following piecewise function.

atroni [7]

Answer:

The graph of this piece-wise function is attached below.

Step-by-step explanation:

Given the function

${\displaystyle f(x)={\begin{cases}x^{2} +2&{\text{if }}-5\leq x$

A piece-wise function is a function which has multiple pieces.
Each of the pieces have their own restrictions.

The domain of a function is the set of input, or x, values for which the function is defined.
The range is the set of all values taken by the function

As the piece

$f(x)=x^{2} +2$ has the domain [-5, 3) and graph of this piece is attached below.

and

$f(x)=x-4$ has the domain [3, 7) and graph of this piece is attached below.

So, the domain of the piece-wise function can be composed as [-5, 3) U [3, 7) and range has the interval $\:\left[-1,\:27\right]$ .

i.e.

Domain: [-5, 3) U [3, 7)

Range: $\:\left[-1,\:27\right]$

The graph of this piece-wise function is attached below.

Keywords: piece-wise function, domain, range

Learn more about piece-wise function from brainly.com/question/12687437

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