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What is the inverse of the function f(x) = 2x + 5?
What is the inverse of the function f(x) = 2x + 5?
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Practice Questions
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Q1
What is the inverse of the function f(x) = 2x + 5?
f^-1(x) = (x - 5)/2
f^-1(x) = 2x - 5
f^-1(x) = (x + 5)/2
f^-1(x) = 5 - 2x
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To find the inverse, set y = 2x + 5, solve for x: x = (y - 5)/2, thus f^-1(x) = (x - 5)/2.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the inverse of the function f(x) = 2x + 5?
Solution:
To find the inverse, set y = 2x + 5, solve for x: x = (y - 5)/2, thus f^-1(x) = (x - 5)/2.
Steps: 5
Show Steps
Step 1: Start with the function f(x) = 2x + 5.
Step 2: Replace f(x) with y, so now we have y = 2x + 5.
Step 3: We want to solve for x in terms of y. First, subtract 5 from both sides: y - 5 = 2x.
Step 4: Now, divide both sides by 2 to isolate x: x = (y - 5) / 2.
Step 5: The inverse function is found by replacing y with x: f^-1(x) = (x - 5) / 2.
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