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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