The domain for f(x) and g(x) is the set of all real numbers.
let f(x)=3x+5 and g(x)=x^2 .
find g(x)-f(x)
a.) 3x^2-5
b.) x^3-5
c.) 3x^3-5x^2
d.) x^2-3x-5
an explanation too: ) you!

D.) x^2-3x-5

Step-by-step explanation:

f(x)=3x+5

g(x)=x^2 .

Find g(x)-f(x)

g(x) - f(x)=  x^2 -(3x+5)

Distribute the minus sign        

 x^2 -3x-5

x² - 3x - 5 ⇒ answer D

Step-by-step explanation:

* Lets explain how to solve the problem

- There are two functions f(x) ang g(x)

- f(x) = 3x + 5 ⇒ it is a linear function

- g(x) = x² ⇒ it is a quadratic function

- Both functions have a domain the set of real numbers

- We want to subtract f(x) from g(x)

* Lets solve the problem

∵ g(x) = x²

∵ f(x) = 3x + 5

∵ f(x) will subtracted from g(x)

∴ g(x) - f(x) = (g - f)(x)

- Lets make the subtraction

∴ (g - f)(x) = x² - (3x + 5)

- Open the bracket by multiply the negative sign by the two terms

 of the bracket

∵ -(3x) = - 3x

∵ -(5) = - 5

∴ (g - f)(x) = x² - 3x - 5

∴ g(x) - f(x) = x² - 3x - 5

for the points! : )

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

~just a girl in love with shawn mendes