SOLUTION: Hello, I need help with these two exercises. 1. Evaluate g(4) when g(x) = 3^(x + 1) -3. 2. Evaluate Find j(0) when j(x) = -2 (3/2)^x. Thank you so much, Fernando

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Hello, I need help with these two exercises. 1. Evaluate g(4) when g(x) = 3^(x + 1) -3. 2. Evaluate Find j(0) when j(x) = -2 (3/2)^x. Thank you so much, Fernando      Log On


   

Question 1196246: Hello,
I need help with these two exercises.
1. Evaluate g(4) when g(x) = 3^(x + 1) -3.

2. Evaluate Find j(0) when j(x) = -2 (3/2)^x.
Thank you so much,
Fernando
Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
.

In this problem, the word "evaluate" means 

    +-----------------------------------------------------------------------+
    |    substitute given value of x into the given formula instead of x    |
    |    and then calculate the obtained numerical expression               |
    +-----------------------------------------------------------------------+


Assignments of this class are traditionally considered as simplest problems of Algebra.


So, in case (1), we do this: we substitute value of 4 instead of x into the formula;

                             we get  g(4) = 3%5E%284%2B1%29-3;

                             and we calculate it  3%5E%284%2B1%29-3 = 3%5E5-3  = 

                                                  = 3*3*3*3*3 - 3 = 9*9*3 - 3 = 81*3 - 3 = 243 - 3 = 240.    


                             ANSWER:  g(4) = 240.




    In case (2), we do this: we substitute value of 0 instead of x;

                             we get  j(0) = -2%2A%283%2F2%29%5E0;

                             we know that any real number in degree 0 equals 1, so %283%2F2%29%5E0 = 1;

                             and we calculate it  -2%2A1 = -2.


                             ANSWER:  j(0) = -2.

Solved.

Use this mantra every time as you solve similar problems.