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Alla [95]
4 years ago
7

Let f(x)=15/(1+4e)^(-0.2x) What is the y-intercept of the graph of f(x) ?

Mathematics
2 answers:
sergejj [24]4 years ago
5 0
That means when x=0
e^-0.2x =e^0=1
So f(0)=15/5=3
Neko [114]4 years ago
3 0

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

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