2. Diketahui f(x) = a^(x) + a^(-x) dan g(x) = a^(x) - a^(-x). Tentukanlah : a. {f(x)}^2 - {g(x)}^2 b. g(2x) - f(x) . g(x)
Added by Julie J.
Step 1
{f(x)}^2 - {g(x)}^2 We can start by expanding the squares: {f(x)}^2 = (a^x + a^(-x))^2 = a^(2x) + 2 + a^(-2x) {g(x)}^2 = (a^x - a^(-x))^2 = a^(2x) - 2 + a^(-2x) Substituting these into the expression, we get: {f(x)}^2 - {g(x)}^2 = (a^(2x) + 2 + a^(-2x)) - (a^(2x) Show more…
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