Find the value of f(g(-2)) f(x) =-2x+14 g(x)=3x^2+6x-2
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Answer:
Step-by-step explanation:
Okay, the exponential function is
The start price of it in t=0 is 3,500, as we can see on the graph. Then, the function becomes
Let's see at t=2, where the price is g=2000:
Take natural logarithm:
So, the difference between t=0 and t=2 is
And then we get the change of x in one year equal to 0.035.
So, the final equation is
You can insert any t and see that it is correct, for example t=7
The start price of it in t=0 is 3,500, as we can see on the graph. Then, the function becomes
Let's see at t=2, where the price is g=2000:
Take natural logarithm:
So, the difference between t=0 and t=2 is
And then we get the change of x in one year equal to 0.035.
So, the final equation is
You can insert any t and see that it is correct, for example t=7