Question

F(x)=20/4+3e−0.2x

What is f(3) ?
Enter your answer, rounded to the nearest tenth, in the box.

Answer 1

If you has meant, 20/4+3e^-0.2x it would be 3.5

Explanation:

20/4+3e^-0.2(x)

Plug in 3 for x

20/4+3e^-0.2(3)

20/4+3e^-0.6

e=2.7182818

20/4+3(2.7182818)^-0.6

20/4+8.15484548^-0.6

20/4+1.6464349

20/5.64643

3.54205810

Rounded to the nearest 10th

3.5

Answer 2

12.6

Explanation:

Given the function, F(x)=20/4+3e−0.2x

Where e is an exponential function,

To get f(3), we need to substitute x = 3 into the given function

F(3) = 20/4 + 3e - 0.2(3)

f(3) = 5 + 3e - 0.6

f(3) = 4.4+3e

Substituting the value of e = 2.718

f(3) = 4.4+3(2.718)

f(3) = 12.554

f(3) = 12.6 to the nearest tenth.