Home › Forums › Math › If f(x) = 3x^2+1 and g(x) = 1 – x, what is the value of (f – g)(2)?

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  • July 19, 2021 at 12:55 pm #9880
    nazrina
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      a. 12
      b. 14
      c. 36
      d. 38

      July 19, 2021 at 1:15 pm #9911
      nazrina
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        Given:
        f(x) = 3x² + 1
        g(x) = 1 – x

        To find:
        (f – g)(2)

        Solution:
        (f-g)(x) = f(x)-g(x)
        (f-g)(x) = (3x² + 1)-(1-x)
        (f-g)(x) = 3x²+x
        (f-g)(2) = 3(2)² + 2
        (f-g)(2) = 12+2
        (f-g)(2) = 14

        Therefore the correct option is (b)

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