Question
Given the function \( f(x)=9 x-2 \) Evaluate and simplify the following: a) \( f(-7)=-5 / 9 \) b) \( f(8)=-10 / 9 \)
Ask by Floyd Page. in the United States
Jan 09,2025
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Tutor-Verified Answer
Answer
a) \( f(-7) = -65 \)
b) \( f(8) = 70 \)
Solution
Substitute \( x=-7 \) into the expression \( 9x-2 \).
Evaluate the expression by following steps:
- step0: Evaluate:
\(9x-2\)
- step1: Substitute:
\(9\left(-7\right)-2\)
- step2: Multiply the numbers:
\(-63-2\)
- step3: Subtract the numbers:
\(-65\)
Substitute \( x=8 \) into the expression \( 9x-2 \).
Evaluate the expression by following steps:
- step0: Evaluate:
\(9x-2\)
- step1: Substitute:
\(9\times 8-2\)
- step2: Multiply the numbers:
\(72-2\)
- step3: Subtract the numbers:
\(70\)
a) \( f(-7) = -65 \)
b) \( f(8) = 70 \)
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Simplify this solution Bonus Knowledge
Let’s dive into evaluating the given function \( f(x)=9x-2 \) for the specified inputs. For part (a), plug in \( x = -7 \): \[ f(-7) = 9(-7) - 2 = -63 - 2 = -65 \] So, \( f(-7) = -65 \) and certainly not \( -\frac{5}{9} \). For part (b), we evaluate \( f(8) \): \[ f(8) = 9(8) - 2 = 72 - 2 = 70 \] Hence, \( f(8) = 70 \), definitely not \( -\frac{10}{9} \). It seems like those initial results were a bit off! Always double-check your calculations; arithmetic can be sneaky sometimes!
