1. Let \( f(x)=2 x-7 \). (a) How do you read or say in words " \( f(x)^{\prime \prime} \) (b) What is another common way to write " \( f(x) \) "? (c) What is the input variable? What is the output variable (d) What is the notation " \( f(5) \) " telling you to do? Go ahe that \( x=5 \) (e) If \( f(x)=15 \), then solve for \( x \).

(a) To read or say in words " \( f(x)^{\prime \prime} \)", we say "the second derivative of \( f(x) \)". (b) Another common way to write " \( f(x) \)" is "the function \( f \) of \( x \)". (c) The input variable is \( x \) and the output variable is \( f(x) \). (d) The notation " \( f(5) \)" tells us to find the value of the function \( f \) when the input is 5. (e) If \( f(x)=15 \), then we need to solve for \( x \) by setting the function equal to 15 and solving for \( x \). Let's solve for \( x \) when \( f(x)=15 \). Solve the equation by following steps: - step0: Solve for \(x\): \(2x-7=15\) - step1: Move the constant to the right side: \(2x=15+7\) - step2: Add the numbers: \(2x=22\) - step3: Divide both sides: \(\frac{2x}{2}=\frac{22}{2}\) - step4: Divide the numbers: \(x=11\) When \( f(x)=15 \), the value of \( x \) is 11.