High School

Evaluate as indicated. Let [tex]f(x) = 7x - 2[/tex].

Find [tex]f(m - 6)[/tex] and simplify.

A. [tex]7xm - 42x - 2m + 12[/tex]
B. [tex]7m - 8[/tex]
C. [tex]7m - 44[/tex]
D. [tex]7x - 8[/tex]

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.

Learn more about the topic of function substitution here:

https://brainly.com/question/35064274

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