-and-gx-1x-for-x-0-compute-both-fgx-and-gfx-and-determine-whether-they-are-equal

Question

Let f(x)=x+1f(x) = x + 1 and g(x)=1xg(x)=\frac{1}{x} for x≠0x ≠ 0. Compute both (f∘g)(x)(f∘g)(x) and (g∘f)(x)(g∘f)(x) and determine whether they are equal.

Accepted Answer

(f∘g)(x)=1+xx(f\circ g)(x)=\frac{1+x}{x}, (g∘f)(x)=1x+1(g\circ f)(x)=\frac{1}{x+1}, and they are not equal

Answer

(f∘g)(x)=1+xx(f\circ g)(x)=\frac{1+x}{x}, (g∘f)(x)=1x+1(g\circ f)(x)=\frac{1}{x+1}, and they are equal

Answer

(f∘g)(x)=x+1(f∘g)(x) = x + 1, (g∘f)(x)=1x(g\circ f)(x)=\frac{1}{x}, and they are not equal

Answer

(f∘g)(x)=1x+1(f\circ g)(x)=\frac{1}{x+1}, (g∘f)(x)=1+xx(g\circ f)(x)=\frac{1+x}{x}, and they are equal

Let f(x)=x+1f(x) = x + 1 and g(x)=1xg(x)=\(\frac{1}{x}\) for x≠0x ≠ 0. Compute both (f∘g)(x)(f∘g)(x) and (g∘f)(x)(g∘f)(x) and determine whether they are equal.

Let $f (x) = x + 1$ and $g (x) = \frac{1}{x}$ for $x is not equal to 0$ . Compute both $(f \circ g) (x)$ and $(g \circ f) (x)$ and determine whether they are equal.