Given the function f(x)=5x-1 , evaluate and simplify the expressions below. See special instructions on how to enter your answers. f(a)=square f(a+h)=square (f(a+h)-f(a))/(h)=square Instructions:Simplify answers as much as possible. Expressions such as 4(x+2) and (x+5)^2 should be expanded. Also collect like terms, so 3x+x should be written as 4x.

To evaluate and simplify the expressions, we will substitute the given values into the function $f(x)=5x-1$ and perform the necessary calculations.<br /><br />1. $f(a)$:<br />Substitute $x=a$ into the function:<br />$f(a)=5a-1$<br /><br />2. $f(a+h)$:<br />Substitute $x=a+h$ into the function:<br />$f(a+h)=5(a+h)-1=5a+5h-1$<br /><br />3. $\frac {f(a+h)-f(a)}{h}$:<br />Substitute $f(a+h)$ and $f(a)$ into the expression:<br />$\frac {f(a+h)-f(a)}{h}=\frac {(5a+5h-1)-(5a-1)}{h}=\frac {5h}{h}=5$<br /><br />Therefore, the simplified expressions are:<br />$f(a)=5a-1$<br />$f(a+h)=5a+5h-1$<br />$\frac {f(a+h)-f(a)}{h}=5$