Suppose F(x) = 2x^2-2 And G(x) = X-1. What Is The Value Of F(g - Socratic

Suppose #f(x) = 2x^2-2# and #g(x) = x-1#. What is the value of #f(g(-1))#? Algebra

1 Answer

smendyka May 8, 2017

See a solution process below:

Explanation:

First, determine #g(-1)# by substituting #color(red)(-1)# for each occurrence of #color(red)(x)# in the function #g(x)#:

#g(color(red)(x)) = color(red)(x) - 1# becomes:

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

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

Now we know #f(g(-1))# is equal to #f(-2)#

Find #f(-2)# by substituting #color(red)(-2)# for each occurrence of #color(red)(x)# in the function #f(x)#:

#f(color(red)(x)) = 2color(red)(x)^2 - 2# becomes:

#f(color(red)(-2)) = (2 * color(red)(-2)^2) - 2#

#f(color(red)(-2)) = (2 * 4) - 2#

#f(color(red)(-2)) = 8 - 2#

#f(color(red)(-2)) = 6#

Therefore:

#f(g(-1)) = 6#

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