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Artist 52 [7]
3 years ago
14

If f(x)= 2x + 5, which of these is the inverse of f(x)

Mathematics
2 answers:
rosijanka [135]3 years ago
8 0

Answer:

D.  f^{-1}(x)=\frac{x-5}{2}

Step-by-step explanation:

The given function is

f(x)=2x+5

Let y=2x+5

Interchange  x and y.

x=2y+5

Solve for y.

x-5=2y

Divide both sides by 2

\frac{x-5}{2} =y

Hence f^{-1}(x)=\frac{x-5}{2}

nevsk [136]3 years ago
6 0

Answer: OPTION D

Step-by-step explanation:

To find the inverse of the function given in the problem, you must apply the proccedure shown below:

1- Rewrite the function:

y=2x+5

2- You must solve for <em>x</em> from the functionn, as following:

  • Subtract 5 from both sides of the function.
  • Divide both sides of the function by 2.
  • Then:

y-5=2x\\\\x=\frac{y-5}{2}

  • Rewrite the function as following (Substitute x=f^{-1}(x) and y=x:

f^{-1}(x)=\frac{x-5}{2}

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