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What is the inverse of the function f(x) = 3x - 5?
What is the inverse of the function f(x) = 3x - 5?
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Practice Questions
1 question
Q1
What is the inverse of the function f(x) = 3x - 5?
(x + 5)/3
(x - 5)/3
3(x + 5)
3(x - 5)
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To find the inverse, set y = 3x - 5, solve for x: x = (y + 5)/3, hence f^(-1)(x) = (x + 5)/3.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the inverse of the function f(x) = 3x - 5?
Solution:
To find the inverse, set y = 3x - 5, solve for x: x = (y + 5)/3, hence f^(-1)(x) = (x + 5)/3.
Steps: 6
Show Steps
Step 1: Start with the function f(x) = 3x - 5.
Step 2: Replace f(x) with y, so now we have y = 3x - 5.
Step 3: To find the inverse, we need to solve for x in terms of y.
Step 4: Add 5 to both sides of the equation: y + 5 = 3x.
Step 5: Now, divide both sides by 3 to isolate x: x = (y + 5) / 3.
Step 6: The inverse function is written as f^(-1)(x). So, replace y with x: f^(-1)(x) = (x + 5) / 3.
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