Which function is the inverse of f(x) = 2x + 3 ?
f (x) - x-
f (x) - £x-
m? () --2x+3
(x) = 2x+3

Hello!

To solve these problems we will use the Pythagorean Theorem( a²+b²=c², where a and b are the legs and c is the hypotenuse). Let's start!

Q. 7
5²+12²=c²
25+144=169
√169=13
The length of the hypotenuse is 13.

Q. 8
We already know the length of the hypotenuse, so we will have to solve for a by subtracting.

10²-8²=a²
100-64=36
√36=6

The length of the missing leg is 6.

Q. 9
To test whether or not this is a right triangle, we have to make sure the squares of the legs is equal to the square of the hypotenuse. The hypotenuse is ALWAYS the longest side of a triangle, so in our case, the hypotenuse is eight. Let's check the squares.

16+49=65
16+49≠64

Therefore, this is NOT a right triangle.

I hope this helps!