How do you use #f (x)= 2x - 3# and #g(x)= 1-x^2# to evaluate f(g(0))?

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Answer 1 · 2017-01-12T01:35:35

See the full process for evaluating these functions below.

First, evaluate #g(0)#:

If #g(color(red)(x)) = 1 - x^2#, then

#g(color(red)(0)) = 1 - 0^2#

#g(color(red)(0)) = 1 - 0#

#g(0) = 1#

Second, evaluate #f(g(0))#:

If #f(color(red)(x)) = 2x - 3# and #g(0) = 1#, then

#f(g(0)) = f(1)#

and

#f(color(red)(1)) = (2 xx 1) - 3#

#f(color(red)(1)) = 2 - 3#

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

Therefore

#f(g(0)) = -1#