The second one on the top right
Answer:
(x+8)(5x2−2)
Step-by-step explanation:
Hope this helps have a nice day :)
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
Slope Intercept Form - y = mx + b
First you need the slope or m which in the first equation is 6 and in the second is 5
Next the y-intercept or b which in the first equation is -4 and in the second is -3
Here is an image of both equation plotted on a graph where the first equation is purple and the second is green
Hope this helps, if you need anything else i will edit it in :)
edit: The to lines intercept at the point (1,2)
Sorry, i wasn't completely sure what you needed i haven't done this in a while. If you still need more, I'll try to help.
