Question

Given the definitions of f(x) and g(x) below, find the value of g( f(1) ).

f(x)= 3x^2-7x+6
g(x)= 4x-5

Answer 1

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`f(x) = 3 {x}^(2) - 7 x+ 6`

`f(1) = 3 ({1})^(2) - 7(1) + 6`

`f(1) = 3 - 7 + 6`

`f(1) = 9 - 7`

`f(1) = 2`

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`g(x) = 4x - 5`

`g(f(1)) = g(2) = 4(2) - 5`

`g(2) = 8 - 5`

`g(2) = 3`

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