Directions:Solve the functions algebraically. 9. Given the function f(x)=4x-1 find f(x+2) .write your answer as a simplified polynomial.

To find \( f(x+2) \) for the function \( f(x) = 4x - 1 \), we need to substitute \( x+2 \) into the function in place of \( x \).<br /><br />Start with the given function:<br />\[ f(x) = 4x - 1 \]<br /><br />Substitute \( x+2 \) for \( x \):<br />\[ f(x+2) = 4(x+2) - 1 \]<br /><br />Distribute the 4:<br />\[ f(x+2) = 4x + 8 - 1 \]<br /><br />Combine like terms:<br />\[ f(x+2) = 4x + 7 \]<br /><br />So, the simplified polynomial for \( f(x+2) \) is \( 4x + 7 \).