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Mariulka [41]
2 years ago
12

Consider the function represented by the equation y-6x-9=0. Which answer shows the equation written in function notation with x

as the independent variable? A.f(x)= 6x+9 B. f(x)=1/6x+3/2 C. f(y)=1/6y+3/2
Mathematics
2 answers:
spin [16.1K]2 years ago
6 0

we have

y-6x-9=0

Step 1

<u>Clear the variable y</u>

y-6x-9=0

Adds (6x+9) both sides

y-6x-9+(6x+9)=0+(6x+9)

y=(6x+9)

Step 2

<u>Convert in function notation</u>

Let

f(x)=y

f(x)=(6x+9)

therefore

<u>the answer is</u>

f(x)=(6x+9)


Nina [5.8K]2 years ago
4 0

Solution:

There are two kind of variables when equation of a function is written

1. Independent variable

2. Dependent Variable

A variable is said to be independent , if it can select constant values by itself.

And, a variable is said to be independent, if it is dependent on other variable of the equation.

The given equation is , y-6 x -9=0

As, we have to write a function in which x is an independent variable and other variable y, will work as a dependent variable.

So, writing the above linear function as,

y= 6 x + 9

f(x)= 6 x + 9 →→Option (A)

Correct representation of function in which x is an independent variable and y is a dependent variable,because if we substitute different real values of x, we get different real values of y.

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