PLEASE HELP ME! Select the correct answer. Consider function g. Which function could be the inverse of function g?
1 answer:
Answer:
A) k(x)
Step-by-step explanation:
An inverse function does the opposite to the function.
For example, if the function was "+2" then the inverse would be "-2", or if the function was "×2" the inverse would be "÷2".
An <u>inverse function</u> is a <u>reflection of the function in the line y = x</u>
Therefore (x, y) → (y, x)
(-8, 2) → (2, -8)
(-4, 3) → (3, -4)
(0, 4) → (4, 0)
(4, 5) → (5, 4)
(8, 6) → (6, 8)
Therefore, the function k(x) could be an inverse of function g(x).
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Solution
1) Simplify
<span> to </span>
<span>−2= </span>
+ 
2) Simplify + <span>to <span>914</span>
</span> <span>−2= </span>
3) <span>Add 2 to both sides
</span> = <span>+2
</span>
4) Simplify
<span><span>+2</span> to </span>
=
5) <span>Multiply both sides by 7
</span><span>4y= </span> <span>×7
</span>
6) Simplify <span><span>×7</span> to </span>
=
7) Simplify<span> to </span>
=
8) <span>Divide both sides by 4
</span>y= <span>×4
</span>
9) <span>Simplify <span>2×4</span> to 8
</span><span>y=</span>
<span><span>
Hope this helps
</span></span>
1) Simplify
2) Simplify
</span>
3) <span>Add 2 to both sides
</span>
</span>
4) Simplify
5) <span>Multiply both sides by 7
</span><span>4y= </span>
</span>
6) Simplify
7) Simplify
8) <span>Divide both sides by 4
</span>y=
</span>
9) <span>Simplify <span>2×4</span> to 8
</span><span>y=</span>
<span><span>
Hope this helps
</span></span>