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Let f(x)=81+3e−0.7x . What is the value of f(−1) ? Round the answer to the nearest hundredth. Enter your answer in the box.

Respuesta :

gracelw1
f(-1)=81+3e-.7(-1)

enter into scientific/ graphing calculator
f(-1)=89.85

Answer:

 f(-1)=89.85      

Step-by-step explanation:

Given : Function - [tex]f(x)=81+3e-0.7x[/tex]      

To find : f(-1) nearest to hundredth

Solution :

step 1- Write the function

[tex]f(x)=81+3e-0.7x[/tex]  

Step 2- Put the value of x=-1

[tex]f(-1)=81+3e-0.7(-1)[/tex]  

Step 3- Solve

[tex]f(-1)=81+3e+0.7[/tex]  

[tex]f(-1)=81.7+3e[/tex]  

Value of e is a Euler number e=2.718

[tex]f(-1)=81.7+3(2.718)[/tex]  

[tex]f(-1)=81.7+8.154[/tex]  

[tex]f(-1)= 89.854[/tex]

Round to nearest hundredth f(-1)=89.85