SOLUTION: We are working on logarithms. This was added to our prefinal homework. I am so confused at this point. Given F(x) = 3x-2, evaluate the following. a. F(-4) b. F(-1) c. F(0)

Algebra ->  Expressions -> SOLUTION: We are working on logarithms. This was added to our prefinal homework. I am so confused at this point. Given F(x) = 3x-2, evaluate the following. a. F(-4) b. F(-1) c. F(0)       Log On


   

Question 190842This question is from textbook Intermediate Algebra an Applied Approach
: We are working on logarithms. This was added to our prefinal homework. I am so confused at this point.

Given F(x) = 3x-2, evaluate the following.
a. F(-4)
b. F(-1)
c. F(0)
Here is what i've done so far after several attempts I keep doing it different and confusing myself. I need to understand as finals are next week. Thank you for any help.
f(F,x)=3^(x-2),F(-4)
Evaluate F(-4) by replacing x with -4 in the function.
F(-4)=3^((-4)-2)
F(-4)=(1)/(729)

((1)/(729))
This question is from textbook Intermediate Algebra an Applied Approach

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the function f%28x%29=3%5E%28x-2%29 ???

Evaluating f(-4):


f%28x%29=3%5E%28x-2%29 Start with the given function


f%28-4%29=3%5E%28-4-2%29 Plug in x=-4


f%28-4%29=3%5E%28-6%29 Subtract


f%28-4%29=1%2F3%5E6 Rewrite the right side with a positive exponent by writing the reciprocal of the base.



f%28-4%29=1%2F729 Raise 3 to the 6th power to get 729


----------------------------


Evaluating f(-1):

f%28x%29=3%5E%28x-2%29 Start with the given function


f%28-1%29=3%5E%28-1-2%29 Plug in x=-1


f%28-1%29=3%5E%28-3%29 Subtract


f%28-1%29=1%2F3%5E3 Rewrite the right side with a positive exponent by writing the reciprocal of the base.


f%28-1%29=1%2F27 Raise 3 to the 3rd power to get 27


----------------------------

Evaluating f(0):

f%28x%29=3%5E%28x-2%29 Start with the given function


f%280%29=3%5E%280-2%29 Plug in x=0


f%280%29=3%5E%28-2%29 Subtract


f%280%29=1%2F3%5E2 Rewrite the right side with a positive exponent by writing the reciprocal of the base.



f%280%29=1%2F9 Square 3 to get 9


----------------------------