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Ierofanga [76]
3 years ago
7

Let f(x)=e^x+3 show that f^-1(x)=ln x-3 can someone explain this to me

Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0

Explanation:

For a function ...

  y = f(x)

the inverse function is ...

  x = f(y)

To write that in the form y=f^-1(x), you need to solve for y.

__

For your function f(x) = e^x +3 this looks like ...

  x = e^y +3

  x -3 = e^y . . . . . subtract 3

  ln(x -3) = y . . . . . take the natural log

So, we can write ...

  f^-1(x) = ln(x -3)

_____

Attached is a graph of these functions. As you might guess from the interchange of x and y, a function and its inverse are mirror images of each other across the line y=x.

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Answer:

I'm pretty sure its b>2

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3>−b+5

Step 2: Flip the equation.

−b+5<3

Step 3: Subtract 5 from both sides.

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Step 4: Divide both sides by -1.

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<h3>Similar triangles </h3>

From the question, we are to complete the given statement

From the given information,

We have that ΔPQR ≅ ΔSTR

This means ΔPQR is congruent to ΔSTR

Then,

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Learn more on Congruent Triangles here: brainly.com/question/28032367

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