kori6912 kori6912
  • 20-01-2021
  • Mathematics
contestada

Given f(x) = 3x2 + 7x - 3 and f(x) = 8x – 5, find (f - g)(4).

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MathTutors MathTutors
  • 20-01-2021

Answer: (f-g)(4)=46

Step-by-step explanation:

(f-g)(4) means f(4)-g(4). We first need to find the values of f(4) and g(4).

f(4)=3(4)²+7(4)-3          [exponent]

f(4)=3(16)+7(4)-3          [multiply]

f(4)=48+28-3                 [add]

f(4)=76-3                       [subtract]

f(4)=73

g(4)=8(4)-5                    [multiply]

g(4)=32-5                      [subtract]

g(4)=27

Now that we have the value for f(4) and g(4), we can subtract them.

73-27=46

(f-g)(4)=46

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