If f(x) = x3+ x2and g(x) = x4+ x2+ x, what is the value of f(x) –g(x) when x = 1? A) -2 B) -1 C) 1 D) 5

asked Oct 21, 2022 227k views

11 votes

If f(x) = x3+ x2and g(x) = x4+ x2+ x, what is the value of f(x) –g(x) when x = 1?

A) -2
B) -1
C) 1
D) 5

by Oria

8.5k points

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9 votes

Answer:

Explanation:

$f(x)=x^3+x^2\\\\g(x)=x^4+x^2+x$

$f(x)-g(x)=(x^3+x^2)-(x^4+x^2+x)=x^3+x^2-x^4-x^2-x\\\\=-x^4+x^3-x\\\\x=1\\\\-1^4+1^3-1=-1+1-1=-1$

$x=1\\\\f(1)=1^3+1^2=1+1=2\\\\g(1)=1^4+1^2+1=1+1+1=3\\\\f(1)-g(1)=2-3=-1$

Shubhang B answered Oct 25, 2022

8.2k points

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