Given $f (x) = 2 x^{2} + 11 x - 21$ $f(x)=2x^2+11x-21$ and $g (x) = 2 x - 3$ $g(x)=2x-3$ how do you determine $y = f (g (x))$ $y=f(g(x))$ ?

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Given $f (x) = 2 x^{2} + 11 x - 21$ $f(x)=2x^2+11x-21$ and $g (x) = 2 x - 3$ $g(x)=2x-3$ how do you determine $y = f (g (x))$ $y=f(g(x))$ ?

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Answer 1 · 2018-04-30T17:50:55

= $8 x^{2} - 2 x - 36$ $8x^2 -2x - 36$

Explanation:

$f (x) = 2 x^{2} + 11 X - 21$ $f(x) = 2x^2 + 11X -21$
$g (x) = 2 x - 3$ $g(x) = 2x - 3$

Substitute the value of $g (x)$ $g(x)$ into the $f (x)$ $f(x)$ function .
$f (g (x)) = 2 {(2 x - 3)}^{2} + 11 (2 x - 3) - 21$ $f(g(x)) = 2(2x -3)^2 +11(2x - 3) -21$

= $2 (4 x^{2} - 12 x + 9) + (22 x - 33) - 21$ $2( 4x^2 -12x + 9) + (22x - 33) -21$

= $(8 x^{2} - 24 x + 18) + (22 x - 33) - 21$ $( 8x^2 -24x + 18) + (22x - 33) -21$

= $8 x^{2} - 24 x + 22 x - 33 - 21 + 18$ $8x^2 -24x + 22x - 33 -21+ 18$

= $8 x^{2} - 2 x - 36$ $8x^2 -2x - 36$

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Given $f (x) = 2 x^{2} + 11 x - 21$ $f(x)=2x^2+11x-21$ and $g (x) = 2 x - 3$ $g(x)=2x-3$ how do you determine $y = f (g (x))$ $y=f(g(x))$ ?

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Explanation:

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Given f(x)=2x^2+11x-21f(x)=2x2+11x−21f(x)=2x^2+11x-21 and g(x)=2x-3g(x)=2x−3g(x)=2x-3 how do you determine y=f(g(x))y=f(g(x))y=f(g(x))?

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Explanation:

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Given $f (x) = 2 x^{2} + 11 x - 21$ $f(x)=2x^2+11x-21$ and $g (x) = 2 x - 3$ $g(x)=2x-3$ how do you determine $y = f (g (x))$ $y=f(g(x))$ ?