Fillinthe Blank 1 point Given \( f(x)=x+5, g(x)=x^{2}-9 \), and \( h(x)=x^{2}-10 x+7 \), fi the function given. \( (g-h)(\mathrm{x})= \) type your answer..

To find \( (g-h)(x) \), you need to subtract \( h(x) \) from \( g(x) \). First, write down the functions: - \( g(x) = x^2 - 9 \) - \( h(x) = x^2 - 10x + 7 \) Now perform the subtraction: \[ (g - h)(x) = g(x) - h(x) = (x^2 - 9) - (x^2 - 10x + 7) \] Simplifying this, we have: \[ (g - h)(x) = x^2 - 9 - x^2 + 10x - 7 \] Combining like terms: \[ (g - h)(x) = 10x - 16 \] So, the final answer is: \[ (g - h)(x) = 10x - 16 \]