Question

1. if $f(x)=k - 4x$, and $f(-1/2)=7$, then $k$ is equal to

Explanation:

Step1: Substitute x value

Substitute $x =-\frac{1}{2}$ into $f(x)=k - 4x$. So $f(-\frac{1}{2})=k-4\times(-\frac{1}{2})$.

Step2: Set up the equation

Since $f(-\frac{1}{2}) = 7$, we have the equation $k-4\times(-\frac{1}{2})=7$.

Step3: Simplify the left - hand side

$k + 2=7$.

Step4: Solve for k

Subtract 2 from both sides: $k=7 - 2$.

Answer:

$k = 5$