MATH SOLVE

3 months ago

Q:
# Let f(x)=6−2+2e−0.3x .What is f(−5) ? Enter your answer, rounded to the nearest tenth, in the box.

Accepted Solution

A:

Answer:f(-5)= 10.9Step-by-step explanation:We know the the function isf(x)=6−2+2e−0.3xWe group termsf(x)=(6−2)+2e−0.3xf(x)=(4)+2e−0.3xWe substitute the value for e (Euler's number)f(x)=(4)+2(2.7183) −0.3xWe add togetherf(x)=(4)+2(2.7183) −0.3f(x)=(4)+5.4366 −0.3xf(x)= 9.4366 − 0.3xWe substitute x = -5f(-5)= 9.4366 − 0.3(-5)f(-5)= 9.4366 + 1.5f(-5)= 10.9366f(-5)= 10.9