The function notation f(x)=2x-4 means replace the x on the right-hand side with the value in parentheses on the left.
For example, f(y)=2y-4; f(4)=2(4)-4=4; f(1)=2(1)-4=-2 and so on.
The same principle applies to g(x), for example
g(2)=4(2^2)-3=13,
g(x+1)=4(x+1)^2-3=4(x^2+2x+1)-3=4x^2+8x+4-3=4x^2+8x+1
and so on.
(g of f)(x) is another way to write g(f(x)), therefore
g(f(x))
=g(2x-4) [because f(x)=2x-4
=4(2x-4)^2-3
=4(4x^2-16x+16)-3
=16x^2-64x+64-3
=16x^2-64x+61
Answer:
$5073.37
Step-by-step explanation:
We can use the simple interest rate (appreciation) formula: A = P(1 + r)^t
Because it gives us 3 months, we need to put it in terms of years. That will give us 1/4 of a year:
A = 5000(1 + 0.06)^0.25
When you plug that into the calc, you should get 5073.37 as your final answer!
Answer:
1/25
Step-by-step explanation:
If you simplify the expression you get 1/5^2
then you evaluate the power and you get 1/25
Answer:
If these are addition:
1) 7
2) 3
3) 1
4) -3
5) 0
6) -5
If they are subtraction:
1) 9
2) 9
3) -7
4) 7
5) -4
6) 3
Step-by-step explanation:
Difference is subtraction, but your examples (7 and -3 = 10) implies that these are addition problems. Next time please set them up in a mathematical form.
This is how the problems would be set up:
Addition:
1) 8+(-1)= 7
2)6+(-3)= 3
3)-3+4= 1
4)2+(-5)= -3
4)-2+(-2)= 0
6)-1+(-4)= -5
Subtraction:
1) 8-(-1)= 9
2)6-(-3)= 9
3)-3-4=- 7
4)2-(-5)= 7
4)-2-(-2)= -4
6)-1-(-4)= 3
