Math  /  Algebra

QuestionFind f(a)f(a), f(a+h)f(a+h), and the difference quotient f(a+h)f(a)h\frac{f(a+h)-f(a)}{h} for f(x)=67xf(x)=6-7x where h0h \neq 0.

Studdy Solution
implify the difference quotient by canceling out hh in the numerator and the denominator.
f(a+h)f(a)h=7\frac{f(a+h)-f(a)}{h} = -7So, f(a)=67af(a) =6 -7a, f(a+h)=67a7hf(a+h) =6 -7a -7h, and the difference quotient f(a+h)f(a)h=7\frac{f(a+h)-f(a)}{h} = -7.

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