f (x) = x* +8x+15 g (x) = x +5 Fna ({ •g) (x) x3 +68x2 +75 x +13x2 +55x+ 75 x3 +23x2 +45x+ 75 x +13x2 +55x 55x+20

It looks like you're trying to compute the composition of two functions \( f(x) \) and \( g(x) \) where: - \( f(x) = x^2 + 8x + 15 \) - \( g(x) = x + 5 \) The notation \( f(g(x)) \) refers to the function \( f \) evaluated at \( g(x) \). To compute \( f(g(x)) \): 1. First, substitute \( g(x) \) into \( f(x) \): \[ g(x) = x + 5 \] 2. Now substitute \( g(x) \) into \( f(x) \): \[ f(g(x)) = f(x + 5) = (x + 5)^2 + 8(x + 5) + 15 \] 3. Now, calculate \( (x + 5)^2 \): \[ (x + 5)^2 = x^2 + 10x + 25 \] 4. Then calculate \( 8(x + 5) \): \[ 8(x + 5) = 8x + 40 \] 5. Now combine all parts: \[ f(g(x)) = (x^2 + 10x + 25) + (8x + 40) + 15 \] \[ = x^2 + 10x + 25 + 8x + 40 + 15 \] \[ = x^2 + (10x + 8x) + (25 + 40 + 15) \] \[ = x^2 + 18x + 80 \] Thus, the result of \( f(g(x)) \) is: \[ f(g(x)) = x^2 + 18x + 80 \] If you need further assistance or clarification, please let me know!