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Reptile [31]
3 years ago
10

3. Find f[h(a+4)], given the functions below. *

Mathematics
1 answer:
mote1985 [20]3 years ago
8 0

Answer:

C 5a^2 +70a +240

Step-by-step explanation:

We have given these following functions:

f(x) = 5x, g(x) = -2x + 1, h(x) = x^2 + 6x + 8

h(a+4)

This function is:

h(a+4) = (a+4)^2 + 6(a + 4) + 8

h(a+4) = a^2 + 8a + 16 + 6a + 24 + 8

h(a+4) = a^2 + 14a + 48

f[h(a+4)]

f(x) = 5x

Thus

f(h(a+4)) = f(a^2+14a+48) = 5(a^2 + 14a + 48) = 5a^2 + 70a + 240

The correct answer is given by option C.

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Answer:

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And we're told to find the rate of change in a particular direction = ∇f.û

We first obtain the unit vector in that direction, û

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Hence the function is neither increasing nor decreasing initially in the given direction.

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