Question

f(x)=5x qube+xsqaure-5x-1,g(x)=x+1​

Answer 1

Step-by-step explanation:

According to Question

f(x)= 5x³+x²-5x-1

g(x)=x+1

1.

fog =f(g(x))= 5(x+1)³+(x+1)²-5(x+1)-1

=5(x+1)².(x+1) + (x²+2x+1)-5x-5-1

=5x³+ 5.1 + 3.x².1 + 3.x.1²+x²+2x+1-5x-5-1

=5x³+3x²+x²+3x+2x-5x+5-5-1

=5x³+4x²-1

2.

gof=g(f(x))=(5x³+x²-5x-1)+1=5x³+x²-5x

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Answer 2

Answer:

${5x}^{3 } + {3x}^{2} - x - 3 \: from \: {5x}^{3} - 2x - 3$