#### To determine

**To find:** The inverse of the given function.

#### Answer

f-1x=x2-34

#### Explanation

**Step 1**: Substitute y=f(x). We get

y2=4x+3. By solving this equation for x, we get the expression x=y2-34.

**Step 2**: Interchange the positions of x and y, we get y=x2-34

**Conclusion:** Thus,f-1x=x2-34.

**Graphs for** f, f-1**and**y=x:

The orange-colored graph represents the function f-1. The blue-colored graph represents the function f. The green-colored graph represents the line y=x.

First draw the line y=x and the graph of f. Then take the mirror image of f about the line y=x. You can observe that the graphs for functions f-1 and f are symmetrical about the line y=x.

**Final Staetement:** f-1x=x2-34