Because it is a 90° angle and the legs are congruent, the legs intersect with the hypotenuse at the same angle, so the other, unnamed angle at the bottom left is equal to x.
Now we can state that:
2x + 90 = 180
2x = 90
x = 45
Let's solve your inequality step-by-step.<span><span><span>−1</span>+<span>4y</span></span><31</span>Step 1: Simplify both sides of the inequality.<span><span><span>4y</span>−1</span><31</span>Step 2: Add 1 to both sides.<span><span><span><span>4y</span>−1</span>+1</span><<span>31+1</span></span><span><span>4y</span><32</span>Step 3: Divide both sides by 4.<span><span><span>4y</span>4</span><<span>324</span></span><span>y<<span>8</span></span>
Through the muscle contractions, or A
(a) Using the table, give the values fo rthe inverse
1) original table of values:
x 1 2 3 4 5
f(x) 0 1 1 5 3
2) The inverse of the function is obtained by exchanging x and f(x), this is:
( x, f(x) ) → ( f(x), x)
3) So, the table of values of the inverse of the given function is:
x 0 1 1 5 3
f⁻¹ (x) 0 1 2 3 4
(b) Is the inverse a function?
No, the inverse is not a function, since the table of the inverse shows that the x -value 1 has two different images.
This ambigüity is opposite to the definition of a function, which requires that any input value has only one output. For that reason, the inverse is not a function. You cannot tell whether the image of 1 is 1 or 2, because both are images of the same value.
