Question
Let $f$ be the function defined by$$f=\{(-3,4),(-2,2),(-1,0),(0,1),(1,3),(2,4),(3,-1)\}$$and let $g$ be the function defined$$g=\{(-3,-2),(-2,0),(-1,-4),(0,0),(1,-3),(2,1),(3,2)\}$$Find the value if it exists.$$f(f(f(-1)))$$
Step 1
Looking at the function $f$, we see that when $x=-1$, $f(x)=0$. So, $f(-1)=0$. Show more…
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Let $f$ be the function defined by $$f=\{(-3,4),(-2,2),(-1,0),(0,1),(1,3),(2,4),(3,-1)\}$$ and let $g$ be the function defined $$g=\{(-3,-2),(-2,0),(-1,-4),(0,0),(1,-3),(2,1),(3,2)\}$$ Find the value if it exists. $$f(f(f(f(f(1)))))$$
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Let $f$ be the function defined by $$f=\{(-3,4),(-2,2),(-1,0),(0,1),(1,3),(2,4),(3,-1)\}$$ and let $g$ be the function defined $$g=\{(-3,-2),(-2,0),(-1,-4),(0,0),(1,-3),(2,1),(3,2)\}$$ Find the value if it exists. $$(f \circ f)(0)$$
Let $f$ be the function defined by $$f=\{(-3,4),(-2,2),(-1,0),(0,1),(1,3),(2,4),(3,-1)\}$$ and let $g$ be the function defined $$g=\{(-3,-2),(-2,0),(-1,-4),(0,0),(1,-3),(2,1),(3,2)\}$$ Find the value if it exists. $$f(g(-1))$$
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