How Do You Find H(g(f(5))) Given F(x)=2x-1 And G(x)=3x And ... - Socratic

How do you find #h(g(f(5)))# given #f(x)=2x-1# and #g(x)=3x# and #h(x)=x^2+1#? Algebra Expressions, Equations, and Functions Function Notation

1 Answer

Ratnaker Mehta Jan 23, 2017

#730.#

Explanation:

By Defn., #h(g(f(5)))=h[g{f(5)}]#

So, we first need #f(5)=2(5)-1=9#

# rArr g(f(5))=g(9)=(3)(9)=27#

#rArr h[g{f(5)}]=h(27)=27^2+1=729+1=730.#

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