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What is the inverse of the function f(x) = 2x + 3?
What is the inverse of the function f(x) = 2x + 3?
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Practice Questions
1 question
Q1
What is the inverse of the function f(x) = 2x + 3?
(x - 3)/2
(x + 3)/2
2x - 3
2(x - 3)
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To find the inverse, set y = 2x + 3, solve for x: x = (y - 3)/2.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the inverse of the function f(x) = 2x + 3?
Solution:
To find the inverse, set y = 2x + 3, solve for x: x = (y - 3)/2.
Steps: 6
Show Steps
Step 1: Start with the function f(x) = 2x + 3. We want to find its inverse.
Step 2: Replace f(x) with y. So, we write y = 2x + 3.
Step 3: To find the inverse, we need to solve for x in terms of y. Start by isolating the term with x.
Step 4: Subtract 3 from both sides: y - 3 = 2x.
Step 5: Now, divide both sides by 2 to solve for x: x = (y - 3) / 2.
Step 6: The inverse function is found by switching x and y. So, we write the inverse as f^(-1)(x) = (x - 3) / 2.
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