If f(x) = 2х2 +1 and g(x) = х2 -7, find (f-g)(x).
оа. х2 + 8
ов. 3х2 -6
ос. 3х2 +
od. х2 – 6

Option A

If  f(x) = and g(x) = then

Solution:

Given that f(x) = and g(x) =

To find: (f - g)(x)

We know that,

(f – g)(x) = f (x) - g(x)

Let us substitute the given values of f(x) and g(x) in above formula,

For solving the brackets in above expression,

There are two simple rules to remember:

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

So the expression becomes,

Combining the like terms,

Thus option A is correct

think about it deeply and passionately about this property

i am sorry

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.