Answer:
This would mean 3x=5
so to isolate the x, we divide 5 by 3
and get x=5/3
Answer:
3/8
Step-by-step explanation:
Evaluate b - -1/8 + c where b = 2 and c = -7/4:
b - (-1)/8 + c = 2 - (-1)/8 - 7/4
Put 2 + 1/8 - 7/4 over the common denominator 8. 2 + 1/8 - 7/4 = (8×2)/8 + 1/8 + (2 (-7))/8:
(8×2)/8 + 1/8 - (7×2)/8
8×2 = 16:
16/8 + 1/8 - (7×2)/8
2 (-7) = -14:
16/8 + 1/8 + (-14)/8
16/8 + 1/8 - 14/8 = (16 + 1 - 14)/8:
(16 + 1 - 14)/8
16 + 1 = 17:
(17 - 14)/8
| 1 | 7
- | 1 | 4
| 0 | 3:
Answer: 3/8
3/2 because you divide both by 2
Notation
The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse". Although the inverse of a function looks like you're raising the function to the -1 power, it isn't. The inverse of a function does not mean the reciprocal of a function.
Inverses
A function normally tells you what y is if you know what x is. The inverse of a function will tell you what x had to be to get that value of y.
A function f -1 is the inverse of f if
<span><span>for every x in the domain of f, f<span> -1</span>[f(x)] = x, and</span><span>for every x in the domain of f<span> -1</span>, f[f<span> -1</span>(x)] = x</span></span>
The domain of f is the range of f -1 and the range of f is the domain of f<span> -1</span>.
Graph of the Inverse Function
The inverse of a function differs from the function in that all the x-coordinates and y-coordinates have been switched. That is, if (4,6) is a point on the graph of the function, then (6,4) is a point on the graph of the inverse function.
Points on the identity function (y=x) will remain on the identity function when switched. All other points will have their coordinates switched and move locations.
The graph of a function and its inverse are mirror images of each other. They are reflected about the identity function y=x.
