For f(x)=4x+1 and g(x)=x^-5, find (f+g)(x)

x^(-5)+4x+1

given f(x)=4x+1 and g(x)=x^(-5)

Step-by-step explanation:

f(x)=4x+1

g(x)=x^(-5)

(f+g)(x) means you are just going to do f(x)+g(x)

or (4x+1)+(x^(-5))

There are absolutely no like terms so it can't be simplified. We can use commutative and associative property to rearrange the expression.

x^(-5)+4x+1

ANSWER

EXPLANATION

The given functions are:

and

We now want to find

We use this property of Algebraic functions.

We substitute the functions to get:

Writing as a positive index, we get:

The property we used to obtain the positive index is

We now collect LCD to get:

This simplifies to:

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w