The functions \( f \) and \( g \) are defined as follows. \[ f(x)=5 x-3 \quad g(x)=4 x^{2}-x \] Find \( f(-5) \) and \( g(-2) \), Simplify your answers as much as possible. \[ f(-5)=\square \]

1. Evaluate \( f(-5) \): - Substitute \( x = -5 \) into \( f(x) = 5x - 3 \): \[ f(-5) = 5(-5) - 3 \] - Multiply: \[ 5(-5) = -25 \] - Subtract 3: \[ f(-5) = -25 - 3 = -28 \] 2. Evaluate \( g(-2) \): - Substitute \( x = -2 \) into \( g(x) = 4x^2 - x \): \[ g(-2) = 4(-2)^2 - (-2) \] - Square \(-2\): \[ (-2)^2 = 4 \] - Multiply: \[ 4 \times 4 = 16 \] - Note that subtracting \(-2\) is equivalent to adding 2: \[ g(-2) = 16 + 2 = 18 \] Thus, the simplified answers are: \[ f(-5) = -28 \quad \text{and} \quad g(-2) = 18 \]