If f(x)=\frac{2x+B}{x-3} and f(5)=8, what is the value of B

Cabiolab 2021-09-16 Answered
If f(x)=2x+Bx3 and f(5)=8, what is the value of B
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Expert Answer

timbalemX
Answered 2021-09-17 Author has 108 answers
A function is a relation that maps each value in its domain to exactly one value in its range. A rational function is a function that is a ratio of two polynomials.
The given function is a rational function as it is a ratio of two degree-one polynomials. The value of a function at a point are obtained by substituting the point in the function definition.
The given function definition is f(x)=2x+Bx3 and f(5)=8. Hence, substitute x=5 in function definition and equate it to 8
f(x)=2x+Bx3
f(5)=8
8=25+B53
8=10+B2
10+B=16
10+B10=1610
B=6
Hence, the value of B is equal to 6.
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