Question

B. State whether the following functions are INVERSES or NOT INVERSES. (Show the Solutions 1. $g(x) = 4 - \frac{2}{1}x$ and $f(x) = \frac{1}{2}x + \frac{3}{2}$, if not find the inverse of g(x).

          B. State whether the following functions are INVERSES or NOT INVERSES. (Show the Solutions

1. $g(x) = 4 - \frac{2}{1}x$ and $f(x) = \frac{1}{2}x + \frac{3}{2}$, if not find the inverse of g(x).

B. State whether the following functions are INVERSES or NOT INVERSES. (Show the Solutions

1. g(x) = 4 - (2)/(1)x and f(x) = (1)/(2)x + (3)/(2), if not find the inverse of g(x).

Added by Irene R.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Randy Clemons

Step 1

So, let's find the composition of f(g(x)): f(g(x)) = f((x - 10)/4) = 4((x - 10)/4) + 10 = x - 10 + 10 = x Since f(g(x)) = x, we can conclude that f(x) and g(x) are inverses of each other. Show more…

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