2. Let $f(x)=\frac{1}{2} x+6$.
Find: (a) $f(0)$
(b) $f(-14)$
(c) Find the value of $x$ for which $f(x)=8$
(d) Find the value of $x$ for which $f(x)=0$

Question

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Given the function $f(x) = \frac{1}{2} x + 6$, we need to find $f(0)$. ‖ ‖ step 2 ⋮ Substitute $x = 0$ into the function: $f(0) = \frac{1}{2} \cdot 0 + 6$. ‖ ‖ step 3 ⋮ Simplify the expression: $f(0) = 6$. ‖ ∻Answer∻ ⚹ $f(0) = 6$ ⚹ ∻Key Concept∻ ⚹Function Evaluation⚹ ∻Explanation∻ ⚹To find $f(0)$, substitute $x = 0$ into the function and simplify.⚹ ∻Solution by Steps∻ ‖ step 1 ⋮ Given the function $f(x) = \frac{1}{2} x + 6$, we need to find $f(-14)$. ‖ ‖ step 2 ⋮ Substitute $x = -14$ into the function: $f(-14) = \frac{1}{2} \cdot (-14) + 6$. ‖ ‖ step 3 ⋮ Simplify the expression: $f(-14) = -7 + 6 = -1$. ‖ ∻Answer∻ ⚹ $f(-14) = -1$ ⚹ ∻Key Concept∻ ⚹Function Evaluation⚹ ∻Explanation∻ ⚹To find $f(-14)$, substitute $x = -14$ into the function and simplify.⚹ ∻Solution by Steps∻ ‖ step 1 ⋮ Given the function $f(x) = \frac{1}{2} x + 6$, we need to find the value of $x$ for which $f(x) = 8$. ‖ ‖ step 2 ⋮ Set the function equal to 8: $\frac{1}{2} x + 6 = 8$. ‖ ‖ step 3 ⋮ Subtract 6 from both sides: $\frac{1}{2} x = 2$. ‖ ‖ step 4 ⋮ Multiply both sides by 2: $x = 4$. ‖ ∻Answer∻ ⚹ $x = 4$ ⚹ ∻Key Concept∻ ⚹Solving Linear Equations⚹ ∻Explanation∻ ⚹To find $x$ for which $f(x) = 8$, set the function equal to 8 and solve for $x$.⚹ ∻Solution by Steps∻ ‖ step 1 ⋮ Given the function $f(x) = \frac{1}{2} x + 6$, we need to find the value of $x$ for which $f(x) = 0$. ‖ ‖ step 2 ⋮ Set the function equal to 0: $\frac{1}{2} x + 6 = 0$. ‖ ‖ step 3 ⋮ Subtract 6 from both sides: $\frac{1}{2} x = -6$. ‖ ‖ step 4 ⋮ Multiply both sides by 2: $x = -12$. ‖ ∻Answer∻ ⚹ $x = -12$ ⚹ ∻Key Concept∻ ⚹Solving Linear Equations⚹ ∻Explanation∻ ⚹To find $x$ for which $f(x) = 0, set the function equal to 0 and solve for $x$.⚹◊What is the value of $f(-14)$ in the function $f(x)=\frac{1}{2}x+6$?⍭ Generate me a similar question◊

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