2 answers:
<u><em>Answer:</em></u>
D. f⁻¹(x) = 2x + 10
<u><em>Explanation:</em></u>
<u>The given is:</u>

<u>To find the inverse, follow the below procedures:</u>
<u>1- Convert f(x) to y. </u>
<u>This will give:</u>

<u>2- Swap the x and y variables.</u>
<u>This will give:</u>

<u>3- Solve for y.</u>
<u>This will give:</u>

<u>4- Replace the y in the above step with f⁻¹(x).</u>
<u>This will give us:</u>
f⁻¹(x) = 2x + 10
Hope this helps :)
Answer:
Choice d is the answer.
Step-by-step explanation:
We have given a function.
f(x) = 1/2x-5
We have to find the inverse of the function.
f⁻¹(x) = ?
Putting y = f(x) in given equation, we have
y = 1/2x-5
Separating x , we have
y+5 = 1/2x
x = 2(y+5)
Putting x = f⁻¹(y) in above equation, we have
f⁻¹(y) = 2y+10
Replacing y by x , we have
f⁻¹(x) = 2x+10 which is the answer.
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