Answer:
68
Step-by-step explanation:
Any function is evaluated by putting the argument value where the variable is, then doing the arithmetic. When the argument is another function value, that function value is evaluated first.
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<h3>f∘g</h3>
The "o" in (fog) is a stand-in for the "ring operator" (∘) which is the operator used to signify a composition. A composition is evaluated right-to-left. That means (f∘g)(x) ≡ f(g(x)). The value of g(x) is found first, and is operated on by the function f.
Writing the composition in the form f(g(x)) lets you identify the layers of parentheses. As with any expression evaluation, the Order of Operations applies. It tells you to evaluate the expression in the innermost parentheses and work your way out.
<h3>g(-2)</h3>
To evaluate (f∘g)(-2) = f(g(-2)), we must first evaluate g(-2). That is ...
g(x) = 5x +4
g(-2) = 5(-2) +4 = -10 +4 = -6 . . . . . put -2 where x is, do the math
<h3>f(g(-2))</h3>
Now that we know g(-2) = -6, we know this expression is ...
f(-6) = 8 -10(-6) = 8 +60 = 68 . . . . . substitute for x in 8-10x
Then the value we're looking for is ...
(f∘g)(-2) = 68
(2x-3)(x+5)
Use foil to simplify, First multiply together the first terms of the pairs, then the outer terms, the middle terms, and finally the last terms. Then combine like terms.
2x^2+10x-3x-15 equals 2x^2+7x-15
The answer is 3ft because i know im in high schooland u have to find the legth
Answer:
1. 36 miles
2. 108 miles
3. 234 miles
Step-by-step explanation:
Here we have the Distance in miles, time and calculated speed as follows;
Distance (miles) Elapsed time (hours) Speed (miles/hour)
0 0 0
72 2 36
144 4 36
216 6 36
Distance = Speed (miles/hour) × Elapsed Time (hour)
Therefore, in
1. 1 hour, she travels
1 × 36 = 36 miles
2. 3 hours she travels
3 hours × 36 miles/hour = 108 miles
3. 6.5 hours she travels
6.5 hours × 36 miles/hour = 234 miles.