daisylxholden daisylxholden

25-04-2021
Mathematics

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Find g[h(x)] and h[g(x)] of the functions g(x)=x^2-7 and h(x)=3x+2

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clarch19 clarch19

25-04-2021

Answer:

g(h(x)) = 9x² + 12x - 3

h(g(x)) = -3x² - 19

Step-by-step explanation:

g(h(x)) = (3x² + 2)² - 7

= 9x² + 6x + 6x + 4 - 7

= 9x² + 12x - 3

h(g(x)) = 3(x² - 7) + 2

= 3x² - 21 + 2

= 3x² - 19

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