If f(x) = x^5 and g(x) = 6+x^2 , find g(f(x)) .?

f(x) = x^5
g(x) = 6 + x^2

g(x) → g[f(x)]

g[f(x)] = 6 + (x^5)^2
g[f(x)] = 6 + x^(5 * 2)
g[f(x)] = 6 + x^10

g(f(x))=6+(f(x))^2 = 6+(x^5)^2 = 6+x^(5*2) = 6+x^10

f(x) = x^5
g(x) = 6+x^2

g(f(x)) would look like this

g(6+(x^5)^2)

x^10+6

g(x^5)=6+(x^5)^2
=6+x^10

g ( x^5) = x^10 + 6

g(f(x)) = 6+(x^5)^2 .... = 6+x^10

f(x)=x^5
g(x)=6+x^2

substitue x^5 for f(x) in g(f(x)) which gives,
g(x^5)=6+(x^5)^2
g(f(x))=g(x^5)=6+x^10 ANS

f(x) = x^5
g(x) = 6+x^2

g(f(x))= 6+(x^5 )^2

=6+x^10

6+X^10

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