Question

Given $h(x) = \begin{cases} p-1 & x \le 1 \\ 3x+q & 1 < x \le 4 \\ \frac{x^2-5x+4}{x-4} & x > 4 \end{cases}$ and $\lim_{x \to 1} f(x) = 4$. (a) Find the values of $p$ and $q$. (b) Determine whether the function $f(x)$ is continuous at $x = 4$.

          Given $h(x) = \begin{cases} p-1 & x \le 1 \\ 3x+q & 1 < x \le 4 \\ \frac{x^2-5x+4}{x-4} & x > 4 \end{cases}$ and $\lim_{x \to 1} f(x) = 4$.

(a) Find the values of $p$ and $q$.
(b) Determine whether the function $f(x)$ is continuous at $x = 4$.

Given h(x) = p-1 x ≤ 1
3x+q 1 < x ≤ 4
(x^2-5x+4)/(x-4) x > 4 and limx → 1 f(x) = 4.

(a) Find the values of p and q.
(b) Determine whether the function f(x) is continuous at x = 4.

Added by Nancy V.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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P-1x1 Given hx = 3x + q1 < x4 and im fx = 4x - 5x + 4 x > 4 x - 4 a. Find the values of p and g. b. Determine whether the function is continuous at x = 4.