The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given:
genera form of an exponential function is y=aeᵇˣ
Now, equation for f(x) is
f(x) = 
Similarly, graph for g(x) is
g(x) = 
Comparing the two function a relation can be establish
g(x) = -3[f(x)]
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Answer:
[1] = 6
x = -3/2 is the root
Step-by-step explanation:
A perfect square trinomial is of the form ...
(a + b)² = a² +2ab +b²
You have ...
- a²=16w² ⇒ a = 4w
- b² = 36 ⇒ b = 6
- 2ab = 2(4w)(6) = 48w
Then the factorization is ...
16w² +48w +36 = (4w +6)²
This will be zero when x = -6/4 = -3/2.
Answer:
15
Step-by-step explanation:
Answer:
-0.5
Step-by-step explanation:
The average rate of change from a to b:
[f(b) - f(a)]/(b - a)
Look in the graph for the function values at x = -3 and x = 0.
f(-3) = 2
f(0) = 0.5
average rate of change =
= [f(-3) - f(0)]/(-3 - 0)
= [2 - 0.5]/(-3)
= 1.5/(-3)
= -0.5
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