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Question

For what value of x is fog=gof if f(x)=x2 and g(x)=x3+3?

A
23
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B
1
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C
32
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D
32
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Solution

The correct option is B 1
f(x)=x2g(x)=x3+3f[g(x)]=g(x)2fog=x3+32=x3+1g[f(x)]={f(x)}3+3gof=(x2)3+3fog=gofx3+1=(x2)3+3x32=(x2)3x32=x386x(x2)x32=x386x2+12xx2+1+2x=0(x+1)2=0x=1
So none of the above options are correct

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