Consider $$f\left(x\right)=\frac{3x-2}{x-4}$$ .

What is the horizontal asymptote of $$y=f\left(x\right)$$ ?

Consider $$f\left(x\right)=\frac{3x-2}{x-4}$$ .

What is the horizontal asymptote of $$y=f^{-1}\left(x\right)$$ ?

Consider $$f\left(x\right)=\frac{3x-2}{x-4}$$ .

What is the vertical asymptote of $$y=f^{-1}\left(x\right)$$ ?

Consider $$f\left(x\right)=\frac{3x-2}{x-4}$$ .

What is the horizontal asymptote of $$y=f\left(2x\right)+1$$ ?

Consider $$f\left(x\right)=\frac{3x-2}{x-4}$$ .

What is the vertical asymptote of $$y=f\left(2x\right)+1$$ ?

Consider $$f\left(x\right)=\frac{3x-2}{x-4}$$ .

What is the vertical asymptote of $$y=\frac{1}{f\left(x\right)}$$ ?

Consider $$f\left(x\right)=\frac{3x-2}{x-4}$$ .

What is the horizontal asymptote of $$y=\frac{1}{f\left(x\right)}$$ ?

Consider $$f\left(x\right)=\frac{3x-2}{x-4}$$ .

What is the horizontal asymptote of $$y=\left[f\left(x\right)\right]^2$$ ?

Consider $$f\left(x\right)=\frac{3x-2}{x-4}$$ .

What is the vertical asymptote of $$y=\left[f\left(x\right)\right]^2$$ ?

do you have any questions on the math lessons so far?