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Sagot :

Answer:

[tex]g(g(x)) = {x}^{4} + 14 {x}^{2} + 56 [/tex]

[tex]h(h(x)) = x[/tex]

Step-by-step explanation:

[tex]g(x) = {x}^{2} + 7[/tex]

[tex]g(g(x)) = {( {x}^{2} + 7)}^{2} + 7 [/tex]

[tex]g(g(x)) = {x}^{4} + 14 {x}^{2} + 49 + 7 = {x}^{4} + 14 {x}^{2} + 56 [/tex]

[tex]h(x) = \frac{5}{9x} [/tex]

[tex]h(h(x)) = h( \frac{5}{9x} )[/tex]

[tex]h(h(x)) = \frac{5}{9( \frac{5}{9x} )} = \frac{5}{ \frac{5}{x} } = 5( \frac{x}{5}) = x [/tex]