A certain function has the form f(x) = ax + b where a and b ≠ 0. If f(5) = 1, f(-3) = 25 and f(c) = 0, what is the value of c?
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Originally Posted by sharkman A certain function has the form f(x) = ax + b where a and b ≠ 0. If f(5) = 1, f(-3) = 25 and f(c) = 0, what is the value of c? $\displaystyle f(5) = 5a + b = 1$ $\displaystyle f(-3) = -3a + b = 25$ Solve for a and b simultaneously $\displaystyle f(c) = ac + b = 0$ Sub in the now known values of a and b to find c.
Originally Posted by e^(i*pi) $\displaystyle f(5) = 5a + b = 1$ $\displaystyle f(-3) = -3a + b = 25$ Solve for a and b simultaneously $\displaystyle f(c) = ac + b = 0$ Sub in the now known values of a and b to find c. How did you determine that this is a system of two equations?
Originally Posted by sharkman How did you determine that this is a system of two equations? Two values for f(x) were given and there are also two constants in f(x)