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If f(x)=x^2/e^x then f(-1) is equal to?
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If f(x)=x^2/e^x then f(-1) is equal to?
Calculation of f(-1) for the given function f(x)=x^2/e^x



  • Substitute x=-1 in the given function f(x)=x^2/e^x

  • f(-1)=(-1)^2/e^(-1)

  • f(-1)=1/e^(-1)

  • Using the rules of exponents, e^(-1)=1/e^1=1/e

  • Therefore, f(-1)=1/(1/e)=e



Explanation of the steps involved in calculating f(-1)


To calculate the value of f(-1) for the given function f(x)=x^2/e^x, we need to substitute x=-1 in the function and simplify the expression. The following steps explain the calculation in detail:



  • Substitute x=-1 in the given function f(x)=x^2/e^x

  • f(-1)=(-1)^2/e^(-1)

  • Simplify the expression by using the rules of exponents

  • e^(-1)=1/e^1=1/e

    Therefore, f(-1)=1/e^(-1)=1/(1/e)=e



Therefore, the value of f(-1) for the given function is e.
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If f(x)=x^2/e^x then f(-1) is equal to?
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