algebra 2 problem

Question

Could someone help me answer this question please?
For the given functions f and g, find the specified value of the following functions as well as stating the domain of each one f(x)=x-13;g(x)=7x^2

Answer 1

f(x) = x-13

g(x) = 7x²

 

The domain is all the possible input values for x

The range is all possible outcome values y or f(x) or g(x)

 

For f(x) = x-13  there are no restrictions on possible input values for x

Domain = (-∞, ∞)

 

The range is the same since the outcome values for f(x) are not restricted

Range = (-∞, ∞)

 

Note the open parentheses instead of brackets... This is because the endpoints

at negative and positive infinity are not actually included because they can

never be reached.

 

for g(x) = 7x²

There are no restrictions on input values for x so domain is (-∞, ∞)

 

For output values g(x) note that no matter what value of x we put

in the output will always be a positive number or zero if x=0

Range = [0, ∞)

 

Note the bracket on left side indicates that 0 is included in the range