Domain: 
Range: 
Explanation:
The function is 
The domain of a function is the set of all input values for which the function is well defined. Generally, domain consists of all x-values of the function. Hence, the function
is defined in the interval
.
The range of a function is the set of output values obtained by substituting the value of x in the function. Hence, the function
is defined in the interval
.
Answer:
g (f (-3)) = -9
Step-by-step explanation:
Given:
Graphs of f(x) and g(x) are given
From the given graphs:
Finding g ( f (-3) ):
-----> g ( f (-3) )
-----> g(5)
-----> -9
so,
g ( f (-3) ) = -9
Answer:
x = -3, y=2
Step-by-step explanation:
x+3y =3
3y -2x =12
Solve the first equation for x
x = 3-3y
Substitute this into the second equation
3y -2(3-3y) =12
Distribute
3y -6 +6y =12
Combine like terms
9y -6 =12
Add 6 to each side
9y-6+6 =12+6
9y =18
Divide each side by 9
9y/9 =18/9
y = 2
Now find x
x = 3 -3y
x = 3-3(2)
x = 3-6
x = -3
Answer: x≥-3
Step-by-step explanation:
-(4x-5)+16x≥-31
-4x+5+16x≥-31
12x+5≥-31
-5 -5
12x≥-36
12/12x≥-36/12
x≥-3
hope this helped :)