Final answer:
To find the value of f(1/2x - 3) using the given function, substitute 1/2x - 3 in place of x in the function. The value of f(1/2x - 3) is -x + 13. The correct answer is a) -x + 1.
Step-by-step explanation:
To find the value of f(1/2x - 3) using the function f(x) = -2x + 7, we substitute 1/2x - 3 in place of x in the function.
So, f(1/2x - 3) = -2(1/2x - 3) + 7.
Simplifying further, we get f(1/2x - 3) = -x + 6 + 7 = -x + 13.
Therefore, the value of f(1/2x - 3) is -x + 13, which corresponds to option a) -x + 1.
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