Questions: Evaluate f(a+h) if f(x) = (6x-1)/(5x+1)

Transcript text: Evaluate $f(a+h)$ if $f(x)=\frac{6 x-1}{5 x+1}$

Solution

Solution Steps

To evaluate $ f(a+h) $ for the function $ f(x) = \frac{6x - 1}{5x + 1} $, substitute $ a+h $ into the function in place of $ x $. This involves replacing every instance of $ x $ in the function with $ a+h $.

Step 1: Substitute $ a+h $ into the Function

To evaluate $ f(a+h) $ for the function $ f(x) = \frac{6x - 1}{5x + 1} $, substitute $ a+h $ in place of $ x $. This gives:

\[ f(a+h) = \frac{6(a+h) - 1}{5(a+h) + 1} \]

Step 2: Simplify the Expression

Expand and simplify the expression:

\[ f(a+h) = \frac{6a + 6h - 1}{5a + 5h + 1} \]

Final Answer

The expression for $ f(a+h) $ is:

\[ \boxed{\frac{6a + 6h - 1}{5a + 5h + 1}} \]

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >