If f(x^2)=4x^6+3x^4,then f(5)=?

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Answer 1 · 2018-04-20T11:26:50

#575#

Given: #f(x^2)=4x^6+3x^4#.

So #f(5)=x^2=5#

#:.x=sqrt(5)# (I will only take the positive root here, as all the powers of #2# will give out positive numbers anyways)

#:.f(5)=4(sqrt(5))^6+3(sqrt(5))^4#

#=4*5^3+3*5^2#

#=4*125+3*25#

#=500+75#

#=575#