Suppose that f(x)=x-5 and g(x) = -4x+10. (a) Solve f(x) = g(x). What is the value of f at the solution? What point is on the graph of f? What point is on the graph of g? (b) Solve f(x) > g(x). (c) Graph f(x) and g(x) in the same Cartesian plane. Label the intersection point. (a) For what value of x does f(x) = g(x)? x=0 ....

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Suppose that \( f(x) = x - 5 \) and \( g(x) = -4x + 10 \).

**(a)** Solve \( f(x) = g(x) \). What is the value of \( f \) at the solution? What point is on the graph of \( f \)? What point is on the graph of \( g \)?

**(b)** Solve \( f(x) > g(x) \).

**(c)** Graph \( f(x) \) and \( g(x) \) in the same Cartesian plane. Label the intersection point.

---

**(a)** For what value of \( x \) does \( f(x) = g(x) \)?

\[ x = \, \_\_\_ \]

---

*Note*: There is a blank space provided for the answer to the x-value where the functions are equal.
Transcribed Image Text:Suppose that \( f(x) = x - 5 \) and \( g(x) = -4x + 10 \). **(a)** Solve \( f(x) = g(x) \). What is the value of \( f \) at the solution? What point is on the graph of \( f \)? What point is on the graph of \( g \)? **(b)** Solve \( f(x) > g(x) \). **(c)** Graph \( f(x) \) and \( g(x) \) in the same Cartesian plane. Label the intersection point. --- **(a)** For what value of \( x \) does \( f(x) = g(x) \)? \[ x = \, \_\_\_ \] --- *Note*: There is a blank space provided for the answer to the x-value where the functions are equal.
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