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3 years ago

If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?

1 answer:

5 0

F(x) = 8 - 10x

g(x) = 5x + 4

Finding (fg)(-2).

First let us find fg(x), this is the same as f(g(x))

f(g(x))

f(5x + 4)

Recall, f(x) = 8 - 10x, therefore f(5x + 4) would be such that anywhere we see x in the f(x), we replace it with 5x + 4

f(x) = 8 - 10x

f(5x +4) = 8 - 10(5x + 4)

   = 8 - 50x - 40

   = -50x + 8 - 40

   = -50x - 32

f(g(x)) = fg(x) = -50x - 32

fg(-2) = -50*(-2) - 32 = 100 - 32 = 68

Therefore fg(-2) = 68

I hope this helped.

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3 years ago

What is a peregrine falcon's maximum speed while diving to catch prey,

Sergeu [11.5K]

This is an incomplete question, here is a complete question.

What is a peregrine falcon's maximum speed while diving to catch prey 200 miles per hour in feet per second? (Round your answer to the nearest whole number. (1 mile = 5280 feet)

Answer : The speed in feet per second is, 293 feet/s

Step-by-step explanation :

As we are given that the speed of peregrine falcon's is 200 miles per hour. Now we have to determine the speed in feet per second.

As we know that:

1 mile = 5280 feet

1 hour = 3600 second

So,

1 mile/hr = 1.4667 feet/s

As, 1 mile/hr = 1.4667 feet/s

So, 200 mile/hr = $\frac{200\text{ mile/hr}}{1\text{ mile/hr}}\times 1.4667\text{ feet/s}$

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4 years ago