If #f(x)=5-3x# and #g(x)=x^2-1#, what is #f(g(x))# and #g(f(x))#?

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Answer 1 · 2016-09-07T16:38:39

#f(g(x))=8-3x^2# and

#g(f(x))=9x^2-30x+24#

As #f(x)=5-3x# and #g(x)=x^2-1#

#f(g(x))=5-3×(x^2-1)#

= #5-3x^2+3#

= #8-3x^2# and

#g(f(x))=(5-3x)^2-1#

= #25-30x+9x^2-1#

= #9x^2-30x+24#