Let g: E→F be a function defined by g(x) = 2x+1 where E={2,3,4}. What is g(E)? a. {5,7,9} b. {3,5,7} c. {4,6,8} d. {1,3,5}
Question
Let g: E→F be a function defined by g(x) = 2x+1 where E={2,3,4}. What is g(E)? a. {5,7,9} b. {3,5,7} c. {4,6,8} d. {1,3,5}
Solution
To find g(E), we need to substitute each value from set E into the function g(x) = 2x + 1.
Let's start with the first value in E, which is 2.
g(2) = 2*2 + 1 = 4 + 1 = 5
Next, let's substitute the second value in E, which is 3.
g(3) = 2*3 + 1 = 6 + 1 = 7
Finally, let's substitute the last value in E, which is 4.
g(4) = 2*4 + 1 = 8 + 1 = 9
So, g(E) = {5, 7, 9}. Therefore, the correct answer is a. {5,7,9}.
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