Let #f(x)=3^x#, what is the value of f(-1)?

Question

7416 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-10T17:58:39

See a solution process below:

To find the value of #f(-1)# we need to substitute #color(red)(-1)# for each occurrence of #color(red)(x)# in #f(x)#

#f(color(red)(x)) = 3^color(red)(x)# becomes:

#f(color(red)(-1)) = 3^color(red)(-1)#

#f(color(red)(-1)) = 1/3^color(red)(- -1)#

#f(color(red)(-1)) = 1/3^color(red)(1)#

#f(color(red)(-1)) = 1/3^1#

#f(color(red)(-1)) = 1/3#