Answer:
0.2
Step-by-step explanation:
[tex]\text{f(x) = }\dfrac{90}{9+\frac{50}{e^x}}[/tex]
[tex]\text{f(-2) = }\dfrac{90}{9+\frac{50}{e^{-2}}}[/tex]
[tex]\text{f(-2) =} \dfrac{ 90 }{9 + 50*e^2}[/tex]
Now we can work out the denominator separately.
9 + 50*e^2
9 + 50*7.389
9 + 369.45
378.45
Now use this number to get the final answer.
f(-2) = 90 / 378.45
f(-2) = 0.237 To the nearest tenth
f(-2) = 0.2
There was a lot of movement for that e^x factor make sure you study carefully how that moved around and why. It's a good question. Get what you can from it.
