Let f(x)=8/1 + 3e^−0.7xWhat is the value of f(3)? Round the answer to the nearest hundredth.Enter your answer in the box.
To find the value of f(3), we need to substitute x = 3 into the given function f(x) = 8/1 + 3e^(-0
To find the value of f(3), we need to substitute x = 3 into the given function f(x) = 8/1 + 3e^(-0.7x).
Substituting x = 3, we get:
f(3) = 8/1 + 3e^(-0.7(3))
= 8 + 3e^(-2.1)
Now, we need to evaluate the exponential term e^(-2.1).
Using a scientific calculator, we find:
e^(-2.1) ≈ 0.122456
Substituting this value back into f(3), we get:
f(3) ≈ 8 + 3(0.122456)
≈ 8 + 0.367368
≈ 8.367368
Rounding this answer to the nearest hundredth, we have:
f(3) ≈ 8.37
Therefore, the value of f(3) rounded to the nearest hundredth is 8.37.
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