Algebra 1 teacher at Obama Academy, an International Baccalaureate school in Pittsburgh, Pa
Find $f(g(x))$ and $g(f(x))$ and determine whether each pair of functions $f$ and $g$ are inverses of each other.$$f(x)=4 x \text { and } g(x)=\frac{x}{4}$$
Find $f(g(x))$ and $g(f(x))$ and determine whether each pair of functions $f$ and $g$ are inverses of each other.$$f(x)=6 x \text { and } g(x)=\frac{x}{6}$$
Find $f(g(x))$ and $g(f(x))$ and determine whether each pair of functions $f$ and $g$ are inverses of each other.$$f(x)=3 x+8 \text { and } g(x)=\frac{x-8}{3}$$
Find $f(g(x))$ and $g(f(x))$ and determine whether each pair of functions $f$ and $g$ are inverses of each other.$$f(x)=4 x+9 \text { and } g(x)=\frac{x-9}{4}$$
Find $f(g(x))$ and $g(f(x))$ and determine whether each pair of functions $f$ and $g$ are inverses of each other.$$f(x)=5 x-9 \text { and } g(x)=\frac{x+5}{9}$$
Find $f(g(x))$ and $g(f(x))$ and determine whether each pair of functions $f$ and $g$ are inverses of each other.$$f(x)=3 x-7 \text { and } g(x)=\frac{x+3}{7}$$