Question
Find a linear function $f(x)=a x+b$ that satisfies both of the given conditions.$$f(-1)=1+f(2), f(3)=4 f(1)$$
Step 1
The first condition gives us $-a+b=1+2a+b$. Simplifying this equation, we get $3a=-1$, so $a=-\frac{1}{3}$. Show more…
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