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