Answer:
Step-by-step explanation:

1. 2.85 I'm dumb at math so I will just give the first answer.. xD
Hello!

y = 2x³ + ax² - x + 3
Find the derivative using the power rule:
y' = 6x² + 2ax - 1
Substitute in the given slope and x value to solve for a:
3 = 6(1)² + 2(1)a - 1
3 = 6 + 2a - 1
4 = 6 + 2a
-2 = 2a
a = -1
Answer:
f(g(x)) = g(f(x)) = x and f and g are the inverses of each other.
Step-by-step explanation:
Here, the given functions are:

To Show: f (g(x)) = g (f (x))
(1) f (g(x))
Here, by the composite function:

⇒ f (g(x)) = x
(2) g (f(x))
Here, by the composite function:

⇒ g (f(x)) = x
Hence, f(g(x)) = g(f(x)) = x
⇒ f and g are the inverses of each other.