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3 years ago

If f(×)=4×^2+1 and g(x)=×^2-5 find (f-g)(×)

Mathematics

1 answer:

trasher [3.6K]3 years ago

8 0

Answer:

$\large\boxed{(f-g)(x)=3x^2+6}$

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f-g)(x)=(4x^2+1)-(x^2-5)=4x^2+1-x^2-(-5)\\\\=4x^2+1-x^2+5\qquad\text{combine like terms}\\\\=(4x^2-x^2)+(1+5)=3x^2+6$

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If f(×)=4×^2+1 and g(x)=×^2-5 find (f-g)(×)​

If f(×)=4×^2+1 and g(x)=×^2-5 find (f-g)(×)