Math, asked by bhanwaldimple6, 4 months ago

Suppose that g (x) = 1 + 1x and f(g(x)] = 3 + 2x + x, then f (x)

Answers

Answered by SweetestBitter
0

Step-by-step explanation:

Answer

g(x)=1+

x

And f(g(x))=3+2

x

+x

then f(x)=?

f(g(x))=3+2

x

+x [ terms splitting]

f(g(x))=2+(1+2

x

+x)

Also, (1+

x

)

2

=1+x+2

x

⇒f(g(x))=2+(1+

x

)

2

⇒f(x)=2+x

2

f(x)=x

2

+2

checking

fog=(1+

x

)

2

+2 [(a+b)

2

=a

2

+b

2

+2ab]

=1+x+2

x

+2

=x+2

x

+3= given fog

⇒f(x)=

x

2

+2

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