Need this worked out please so I can understand it
1 answer:
9514 1404 393
Answer:
a) 12
b) y +5 = 12(x +2)
Step-by-step explanation:
The slope of a function is its derivative.
a) The slope of y = x^3 +3 at any point is y' = 3x^2. So, at the point where x=-2, the slope of the curve is ...
m = 3(-2)^2 = 12 . . . . slope at (-2, -5)
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b) The equation of the tangent line is most easily written using the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +5 = 12(x +2) . . . . line with slope 12 through point (-2, -5)
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Answer: - 49
Step-by-step explanation:
f(x) = -2x - 1
g(x) = - 1
fg(x) = f ( - 1) , we just put in the value of g(x) , the next thing is to substitute
- 1 for the value of x in f(x) , that is
fg(x) = -2( - 1) - 1
fg(x) = -2 + 2 - 1
fg(x) = -2 + 1
Therefore : fg(-5) means we will substitute -5 for x in fg(x) , that is
fg(-5) = -2 ( + 1
fg(-5) = -2(25) + 1
fg(-5) = -50 + 1
fg(-5) = -49