Solve this: F(x) = 1/x+6

Step-by-step explanation:(F)=1/F+6

We move all terms to the left:

(F)-(1/F+6)=0

Domain of the equation: F+6)!=0

F∈R

We get rid of parentheses

F-1/F-6=0

We multiply all the terms by the denominator

F*F-6*F-1=0

We add all the numbers together, and all the variables

-6F+F*F-1=0

Wy multiply elements

F^2-6F-1=0

a = 1; b = -6; c = -1;

Δ = b2-4ac

Δ = -62-4·1·(-1)

Δ = 40

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

F1=−b−Δ√2aF2=−b+Δ√2a

The end solution:

Δ‾‾√=40‾‾‾√=4∗10‾‾‾‾‾‾√=4√∗10‾‾‾√=210‾‾‾√

F1=−b−Δ√2a=−(−6)−210√2∗1=6−210√2

F2=−b+Δ√2a=−(−6)+210√2∗1=6+210√2

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step-by-step explanation:

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