Mathematics High School

f(x)= [tex]f(x)=\frac{x^{2} +7}{x^{2} +4x-21}[/tex]

Answers

Answer 1

The value of the function f(x) =  ( x² + 7 ) / ( x² + 4x - 21 )  for x = 5 is equal to 4/3.

The function is equal to,

f(x) =  ( x² + 7 ) / ( x² + 4x - 21 )

find the value of f(x) at x=5 by substituting x=5 into the given function we have,

⇒ f(5) = ( 5² + 7 ) / ( 5² + 4(5) - 21 )

⇒ f(5)  = ( 25 + 7 ) / ( 25 + 20 - 21 )

⇒ f(5)  = 32 / 24

Now reduce the fraction by taking out the common factor of the numerator and the denominator we get,

⇒ f(5)  = ( 8 × 4 ) / ( 8 × 3 )

⇒ f(5)  = 4/3

Therefore, the value of the function f(x) at x=5 is 4/3.

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The given question is incomplete, I answer the question in general according to my knowledge:

Find the value of the function f(x) at x = 5.

f(x) =  ( x² + 7 ) / ( x² + 4x - 21 )

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