Question

Let f(x)=15/(1+4e)^(-0.2x)

What is the y-intercept of the graph of f(x) ?

Answer 1

That means when x=0
e^-0.2x =e^0=1
So f(0)=15/5=3

Answer 2

Answer:

y-intercept of the graph of f(x) is, 3

Step-by-step explanation:

y-intercept states that the graph cross the y-axis.

i.e, substitute x = 0 and solve for y.

As per the statement:

Given the function:

$f(x) = y = \frac{15}{1+4e^{-0.2x}}$

To find y-intercept:

By definition:

Substitute x = 0 we have;

$y = \frac{15}{1+4e^{-0.2 \cdot 0}} = \frac{15}{1+4 \cdot 1}  =\frac{15}{5} = 3$

therefore, the y-intercept of the graph of f(x) is, 3