QuestionRewrite $f(x)$ in factored form, but do not simplify: $$f(x)=\frac{x+4}{4 x^{2}-x-3}=\square$$ x-Intercepts Write intercepts as $(x, y)$ points: $\square$ y-Intercepts Write intercepts as $(x, y)$ points: $\square$ Vertical Asymptotes $\square$ $$x=$$
Horizontal Asymptotes $\square$ Oblique Asymptotes $\square$ Question Help: Video

Studdy Solution
Determine oblique asymptotes.
Since the degree of the numerator is less than the degree of the denominator, there are no oblique asymptotes.
The factored form of $f(x)$ is: $$f(x) = \frac{x+4}{(4x+3)(x-1)}$$
x-Intercepts: $(-4, 0)$
y-Intercepts: $(0, -\frac{4}{3})$
Vertical Asymptotes: $x = -\frac{3}{4}, x = 1$
Horizontal Asymptotes: $y = 0$
Oblique Asymptotes: None