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omeli [17]
1 year ago
13

Match each function with the expression representing its inverse function.

Mathematics
1 answer:
Georgia [21]1 year ago
5 0

Answer:

  • A matches with 5.
  • B matches with 3.
  • C matches with 2.
  • D matches with 6.
  • E matches with 4.
  • F matches with 1.

Step-by-step explanation:

To find the inverse of a function f(x), we let f(y)=x and then solve again for y.

For example, using g(x)=-0.5x, we will let g(y)=x, giving x=-0.5y. This means that y=-2x, and thus g^{-1}(x)=-2x.

Using similar logic, we see that:

  • A matches with 5.
  • B matches with 3.
  • C matches with 2.
  • D matches with 6.
  • E matches with 4.
  • F matches with 1.
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Given f(x) = -x + 5, find f(-3).<br> Answer:
user100 [1]

Hey there!

<u>Find </u><u>f(</u><u>-</u><u>3</u><u>)</u><u> </u><u>:</u>

  • Answer :

f(-3) = 8 ✅

  • Explanation :

f(x) = -x + 5

<em>></em><em>></em><em> </em><em>Substitute </em><em>-</em><em>3</em><em> </em><em>for </em><em>x </em><em>in </em><em>f(</em><em>x)</em><em> </em><em>:</em><em> </em>

f(-3) = -(-3) + 5

f(-3) = 3 + 5

f(-3) = 8

Therefore, your answer is f(-3) = 8

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