The inverse of a function is the opposite of the function
<h3>How to determine the inverse functions</h3>
<u>1) y = log2 (3x)</u>
Swap the positions of x and y
Apply the exponential rule
Make y the subject
Hence, the inverse function is:
<u>2) y=log3(x-1)</u>
Swap x and y
Apply exponent rule
Make y the subject
Hence, the inverse function is:
<u>3) y=-2log x</u>
Swap x and y
Divide both sides by -2
Apply exponent rule
Hence, the inverse function is:
<u>4) y=log6(3x)</u>
Swap x and y
Apply exponent rule
Make y the subject
Hence, the inverse function is:
<u>5)y=log3(x+2)</u>
Swap x and y
Apply exponent rule
Make y the subject
Hence, the inverse function is:
<u>6) y=log3(5^3)</u>
Swap x and y
Hence, the inverse function is:
<u>7) y=6^x+5</u>
Swap x and y
Subtract 5 from both sides
Apply logarithm
Hence, the inverse function is:
<u>9) y=log3 2^x</u>
Swap x and y
Apply exponent rule
Apply logarithm
Hence, the inverse function is:
<u>10) y=3^x -7</u>
Swap x and y
Add 7 to both sides
Apply logarithm
Hence, the inverse function is:
Read more about inverse functions at:
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