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Answer :
The function f(m-6) for the given function f(x)=7x-2 simplifies to 7m-44 after substituting m-6 in place of x, distribution and combining like terms. So, f(m - 6) = 7m - 44.
The subject of this question is Mathematics, specifically algebraic function substitution. Given the function f(x) = 7x - 2, the question asks us to find and simplify f(m-6). This involves substituting m-6 in place of x in the equation.
First, replace x in f(x) with (m - 6).
This gives us f(m - 6) = 7(m - 6) - 2.
Next, apply the distributive property to simplify. Multiply 7 by each term inside the parentheses yielding 7m - 42 - 2.
Finally, combine like terms to obtain f(m - 6) = 7m - 44.
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