If2( ) 3 5= −f x x and2( ) 1= +xg x x what isg f ?
Question
If2( ) 3 5= −f x x and2( ) 1= +xg x x what isg f ?
Solution
To find g(f(x)), we need to substitute f(x) into g(x).
Given f(x) = 2x - 3 and g(x) = 2x + 1, we substitute f(x) into g(x) to get:
g(f(x)) = 2(2x - 3) + 1
Simplify the equation:
g(f(x)) = 4x - 6 + 1
So, g(f(x)) = 4x - 5.
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