Question:
Let $f(x) = 3x - 5$. The inverse of $f$ is given by
Let $f(x) = 3x - 5$. The inverse of $f$ is given by
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For linear functions, inverse is straightforward: swap and solve.
Updated On: Apr 30, 2026
- $\frac{1}{3x-5}$
- $\frac{x+5}{3}$
- $\frac{x}{3} - \frac{1}{5}$
- $\frac{x}{3} + \frac{5}{3}$
- $\frac{3}{x-5}$
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The Correct Option is B
Solution and Explanation
Concept:
Inverse is found by interchanging variables and solving.
Step 1:
\[ y = 3x - 5 \]
Step 2:
\[ x = 3y - 5 \]
Step 3:
\[ 3y = x+5 \Rightarrow y = \frac{x+5}{3} \] \[ \boxed{\frac{x+5}{3}} \]
Step 1:
\[ y = 3x - 5 \]
Step 2:
\[ x = 3y - 5 \]
Step 3:
\[ 3y = x+5 \Rightarrow y = \frac{x+5}{3} \] \[ \boxed{\frac{x+5}{3}} \]
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