Determine the growth defined by the equation y = 6(.79)^x. Is this exponential growth or exponential decay?
1 answer:
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<h3>Answer:</h3>
Factor 6 from the first two terms.
<h3>Step-by-step explanation:</h3>By factoring out "a", you can better see what "h" needs to be.
- y = 6(x^2 +3x) +14 . . . . 6 factored from first 2 terms
- add the square of half the x-coefficient inside parentheses; add the opposite outside: y = 6(x^2 +3x +2.25) +14 -6(2.25)
- rewrite as a square; combine the constants: y = 6(x+1.5)^2 +0.5
Answer:
- g(x) = x + 3
Step-by-step explanation:
<h3>Given</h3>- h(x) = (f ο g)(x)
- h(x) =
- f(x) =
- g(x)
<u>We know that:</u>
- (f ο g)(x) = f(g(x))
<u>Substitute x with g(x) and solve for g(x):</u>
=
- x + 5 = g(x) + 2
- x + 3 = g(x)
- g(x) = x + 3