Question

Let f(x) = 8x3 − 28x + 61 and g(x) = 2x + 5. Find f of x over g of x.

4x2 + 10x + 34 + 116 over quantity of 2 x plus 5
4x2 + 10x + 34 + quantity of 2 x plus 5 over 116
4x2 − 10x + 11+ quantity of 2 x plus 5 over 6
4x2 − 10x + 11+ 6 over quantity of 2 x plus 5

Answer 1

Explanation:

its D

Answer 2

`4x^2-10x+11+(6)/(2x+5)`

Explanation:

The given functions are:

`f(x)=8x^3-28x+61` and
`g(x)=2x+5`

By algebraic properties of functions;

`(f(x))/(g(x))=(8x^3-28x+61)/(2x+5)`

We perform the long division of the two polynomials as shown in the attachment.

Therefore:

`(8x^3-28x+61)/(2x+5)=4x^2-10x+11+(6)/(2x+5)`

The last choice is correct