Question

attempt 1: 10 attempts remaining. find the difference quotient for the function ( f(x) = 1x + 5 ). simplify your answer as much as possible. (\frac{f(x+h)-f(x)}{h}=) submit answer next item

Explanation:

Step1: Find \( f(x + h) \)

Given \( f(x)=x + 5 \) (assuming \( 1x\) is \(x\)), substitute \(x\) with \(x + h\):
\( f(x + h)=(x + h)+5=x + h + 5 \)

Step2: Compute \( f(x + h)-f(x) \)

Subtract \( f(x) \) from \( f(x + h) \):
\( f(x + h)-f(x)=(x + h + 5)-(x + 5) \)
Simplify: \( x + h + 5 - x - 5 = h \)

Step3: Divide by \( h \)

Divide the result by \( h \):
\( \frac{f(x + h)-f(x)}{h}=\frac{h}{h} \) (for \( h
eq0 \))
Simplify: \( 1 \)

Answer:

\( 1 \)