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Given the parent functions f(x) = 5x − 1 and g(x) = 3x − 9, what is g(x) − f(x)?

g(x) − f(x) = 3x − 8 − 5x

g(x) − f(x) = 3x − 10 − 5x

g(x) − f(x) = −2x − 8 − 3x

g(x) − f(x) = −2x − 10 − 3x

Respuesta :

nobillionaireNobley
f(x) = 5x - 1
g(x) = 3x - 9
g(x) - f(x) = 3x - 9 - (5x - 1) = 3x - 9 - 5x + 1 = 3x - 8 - 5x

The function g(x) - f(x) = -2x - 8.

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) is called function.

According to the given question.

We have two functions.

[tex]f(x) = 5x -1[/tex]

and

[tex]g(x) = 3x - 9[/tex]

Therefore, the function g(x) - f(x) is given by

[tex]g(x) - f(x)[/tex]

[tex]= 3x - 9 -(5x -1)[/tex]

[tex]= 3x - 9 - 5x + 1[/tex]

[tex]=-2x -8[/tex]

Hence, the function g(x) - f(x) = -2x - 8.

Find out more information about function here:

https://brainly.com/question/20379727

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