Remark
First of all you have to declare the meaning of g(f(x)) After you have done that, you have to make the correct substitution.
Givens
f(x) = 4x^2 + x + 1
g(x) = x^2 - 2
Discussion
What the given condition g(f(x)) means is that you begin with g(x). Write down g(x) = x^2 - 2
Wherever you see an x on either the left or right side of the equation, you put fix)
Then wherever you see f(x) on the right you put in what f(x) is equal to.
Solution
g(x) = x^2 - 2
g(f(x)) = (f(x))^2 - 2
g(f(x)) = [4x^2 + x + 1]^2 - 2
f(x)^2 =
4x^2 + x + 1
<u>4x^2 + x + 1</u>
16x^4 + 4x^3 + 4x^2
4x^3 + x^2 + x
<u> 4x^2 + x + 1</u>
16x^4 + 8x^3 + 9x^2 + 2x + 1
Answer
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x + 1 - 2
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x - 1
Answer:
The line given is equal to y=-x+7 (Through rearranging)
To find the new line, we substitute the given coordinates (5,8) in the equation without the given y-intersect (+7):
-8=-5+c
c=-3
The line parallel to x+y=7 that passes through the point (5,-8) is y=-x-3
Answer:
3.85 % to 2 decimal places
Step-by-step explanation:
If you have Rs5 profit it means that you have sold it for 135
Do 5 / 130
Then times the answer by 100 *100
Renaud has to pay 2 percent + 14 percent = 16 percent initial costs
We can establish a proportion:
If 100% is => $170,500
Then 16% => $C costs
$C = 16 x $170,500/100 = $27,280 initial costs
Total cost = $163,021.87 + $27,280 = $190,301.87
Answer : C.) $190,301.87
Answer:
120 miles in 2 hours
Step-by-step explanation:
120 because half of a tank is 60 miles so a whole tank means double half, which gives 120 and you also double the hour to 2 hours.
