Question

Let f(x)=6/−2+2e^−0.3x . What is f(−4) ?

DID THE TEST
ANSWER: 1.3

Answer 1

Answer:

$f(-4)=1.3$

Step-by-step explanation:

we have

$f(x)=\frac{6}{-2+2e^{-0.3x}}$

we know that

f(-4)  is the value of the function for x=-4

substitute x=-4 in the function

$f(-4)=\frac{6}{-2+2e^{-0.3(-4)}}$

$f(-4)=\frac{6}{-2+2e^{1.2}}$

$f(-4)=1.3$

Answer 2

Answer:

1.94

Step-by-step explanation:

We substitute -4 into as x in the equation, but first what is e?

e is a term that represents the base of a natural logarithm and is a irrational number, its called Euler's number. e is equivalent to:

$e=2.718$

We can substitute -4 into the equation

$=6/(-2+2*(2.718^(-0.3*-4)))$

$=6/(-2+2*(2.718^(1.2)))$

$=6/(-2+2*2.54)$

$=6/(3.09)$

[tex]=1.94

Therefore f(-4)=1.94