Answer:
Step-by-step explanation:
I'm not sure I know exactly what that [1] means.
But here's how you get the answer
g(x) = 3x + 12
The symbolism means that wherever you see an x on the right side of g(x) you put f(x)
So it looks like this
g(f(x) ) = 3(f(x)) + 12 Now you put f(x) = 2x + 7 in for f(x) on the right.
g(f(x)) = 3(2x + 7) + 12 Remove the brackets
g(f(x)) = 6x + 21 + 12
g(f(x)) = 6x + 33
Now you deal with the x on the left. It becomes - 6
g(f(-6)) = 6(-6) + 33
g(f(-6)) = -36 + 33
g(f(-6)) = - 3
Rule 1
(g · f)(x)
has the meaning of whatever the function on the left is (in this case g) then the function of f is put in the xs place.
Answer:
b=1-a
Step-by-step explanation:
Inside parenthesis
1/1=1
(replace it with that)
Open parenthesis
a=2-1-b
simplify numbers
a=1-b
isolate b
a-1=-b
multiple each side by negative 1
1-a=b
Answer:
b. ellipse; 
Step-by-step explanation:
The graph of 
an ellipse because the coefficients of the quadratic terms are not the same.
This ellipse is centered at the origin. If this ellipse is translated so that its center is now at 
.
Then the translated ellipse will now have equation.
We expand to get;
Answer:
Step-by-step explanation:
Tony's cat weighs c pounds. This means that the cat currently weighs c pounds.
Three months from know, the cat's weight is expected to increase by 12.5%. This means that in three months time, the weight of the cat is expected to be the sum of its current rate × 12.5 % of its current rate. It becomes
c + 12.5/100 × c = c + 0.125c
= 1.125c
So the two expressions that represent the cat's weight in three months would be
1) three months from now, the cat's weight will increase by 0.125c
2) three months from now, the new weight of the cat will be 1.125c
