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aleksklad [387]
3 years ago
5

Let f(x) = 5x + 4 and g(x) = x2 - 4. Find the following. (gof)(-2)

Mathematics
1 answer:
Fed [463]3 years ago
7 0

Answer:

(g ○ f)(-2) = 32

Step-by-step explanation:

Given

f(x)=5x+4

g\left(x\right)=x^2-4

We have to evaluate (g ○ f)(-2), so first we will evaluate f(-2) then use this value to evaluate g(x).

Finding f(-2)

f(x)=5x+4

f(-2) = 5(-2)+4

          = -10 + 4

          = -6

Then

g\left(-6\right)=\left(-6\right)^2-4

          =36-4

          = 32

Therefore,

(g ○ f)(-2) = 32

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Answer:

450 miles per hour

Step-by-step explanation:

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Mark and ann together were allocated n boxes of cookies to sell for a club project. mark sold 10 boxes less than n and ann sold
Lady bird [3.3K]
<span>n = 11<span>.

Explanation:
Let m be the number of boxes Mark sells and a be the number of boxes Ann sells.

Since Mark sells 10 less than n, m = n-10. Since Ann sells 2 less than n, a = n-2.

Together, they sold n-10+n-2=2n-12 boxes.

We know that they sold less than n boxes, so our inequality would be
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To solve this, subtract n from both sides:
2n-12-n<n-n; n-12<0.

Add 12 to both sides:
n-12+12<0+12; n<12.

This means there were less than 12 boxes. The next number down is 11; this woks because Mark sold 10 less than n; 11-10=1. Mark sold at least 1 box.

If n=10, however, 10-10=0; this doesn't work, because Mark did sell at least 1 box.  </span></span>
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3 years ago
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vlada-n [284]

Answer:

x=3

Step-by-step explanation:

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x=3

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