what is (f−g)(x)?

f(x)=x4−x2+9

g(x)=x3+3x2+12

enter your answer in the box.

x^4- x^3- 4x^2-3

Step-by-step explanation:

Given

f(x)= x^4- x^2+9

And

g(x)= x^(3 )+ 3x^2+12

We have to find

(f-g)(x)= ?

The operations on functions are as easy as the operations on numbers or polynomials.

We have to subtract the functions to find the above mentioned operation.

=(f-g)(x)=f(x)-g(x)

(f-g)(x)=[x^4- x^2+9]-[x^(3 )+ 3x^2+12]

The minus will change the signs of function g.

= x^4- x^2+9- x^(3 )- 3x^2-12

= x^4- x^3- x^2- 3x^2+9-12

=x^4- x^3- 4x^2-3

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d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d