For f(x) = 8x + 7 and g(x) = (x - 7)/8, a student finds f(g(x)) = x and g(f(x)) = x. What is established?

For $f(x)=x^2$ and $g(x)=\sqrt{x}$, a student finds g(f(-7)) = 7 rather than -7. What does this show?

For $f(x)=x^2$ and $g(x)=\sqrt{x}$, a student finds g(f(-4)) = 4 rather than -4. What does this show?

To verify that f(x) = 3x - 2 and g(x) = (x + 2)/3 are inverses, what must both f(g(x)) and g(f(x)) simplify to?

For f(x) = 8x + 2 and g(x) = (x - 3)/8, a student finds f(g(x)) = x - 1. What is established?

For $f(x)=x^2$ and $g(x)=\sqrt{x}$, a student finds g(f(-2)) = 2 rather than -2. What does this show?

For f(x) = 5x - 4 and g(x) = (x + 4)/5, a student finds f(g(x)) = x and g(f(x)) = x. What is established?

For $f(x)=x^2$ and $g(x)=\sqrt{x}$, a student finds g(f(-3)) = 3 rather than -3. What does this show?

For f(x) = 8x + 3 and g(x) = (x - 4)/8, a student finds f(g(x)) = x - 1. What is established?

For f(x) = 8x - 4 and g(x) = (x + 3)/8, a student finds f(g(x)) = x - 1. What is established?

To verify that f(x) = 3x + 8 and g(x) = (x - 8)/3 are inverses, what must both f(g(x)) and g(f(x)) simplify to?

For f(x) = 8x + 3 and g(x) = (x - 3)/8, a student finds f(g(x)) = x and g(f(x)) = x. What is established?

To verify that f(x) = 7x + 1 and g(x) = (x - 1)/7 are inverses, what must both f(g(x)) and g(f(x)) simplify to?

To verify that f(x) = 3x + 1 and g(x) = (x - 1)/3 are inverses, what must both f(g(x)) and g(f(x)) simplify to?

For f(x) = 3x + 3 and g(x) = (x - 3)/3, a student finds f(g(x)) = x and g(f(x)) = x. What is established?

For $f(x)=x^2$ and $g(x)=\sqrt{x}$, a student finds g(f(-6)) = 6 rather than -6. What does this show?

For f(x) = 2x + 3 and g(x) = (x - 4)/2, a student finds f(g(x)) = x - 1. What is established?

For $f(x)=x^2$ and $g(x)=\sqrt{x}$, a student finds g(f(-5)) = 5 rather than -5. What does this show?

To verify that f(x) = 5x - 5 and g(x) = (x + 5)/5 are inverses, what must both f(g(x)) and g(f(x)) simplify to?

To verify that f(x) = 4x + 1 and g(x) = (x - 1)/4 are inverses, what must both f(g(x)) and g(f(x)) simplify to?