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Actually Welcome to the Concept of the Functions.
Let's first find the g(-1),
so we get as
3(-1)^2 +5(-1)-6
=> 3 -5-6
=> -8
now since g(-1) =-8
let's find f(g(-1)) that is f(-8)
f(-8) = 4(-8) + 14
=> f(g(-1)) = -32+14
=> f(g(-1)) = -18
-18 is the answer.
Answer:
y = -x - 6
Step-by-step explanation:
Given:
- slope = -1
- point (2,-8)
From:
where m = slope and b = y-intercept. Therefore:
Since the equation passes through a point (2,-8). Substitute x = 2 and y = -8 in and solve for b:
Then substitute b-value in the equation:
Hence, the equation is y = -x - 6