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-6- Use the following functions for #7,8. Let f(x) = 2x?+ 3x and g(x) = x² + 4x. %3D 7. Find (f + g)(5) 8. Find (fg)(2)

-6- Use the following functions for #7,8. Let f(x) = 2x?+ 3x and g(x) = x² + 4x. %3D 7. Find (f + g)(5) 8. Find (fg)(2)

Algebra and Trigonometry (6th Edition)
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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please answer 7 and 8, thank you

**Educational Worksheet Transcription** --- ### 5. Determine the equation of the graph below. Choose the correct equation. Graph depicting a parabola with its vertex at (2, -3) and opening upwards. Options: a) \( y = (x - 2)^2 + 3 \) b) \( y = (x - 2)^2 - 3 \) c) \( y = (x + 2)^2 + 3 \) d) \( y = (x + 2)^2 - 3 \) --- ### 6. Graph \( f(x) = \sqrt{x + 2} - 3 \) Graph depicting the function \( f(x) = \sqrt{x + 2} - 3 \) on a coordinate plane. The graph starts at (-2, -3) and continues to increase slowly as \( x \) values become more positive. --- ### Use the following functions for #7 and 8. Let \( f(x) = 2x^2 + 3x \) and \( g(x) = x^2 + 4x \). 7. Find \( (f \circ g)(5) \). Answer: ____________________ 8. Find \( (g \circ f)(2) \). Answer: ____________________ --- ### 9. Let \( f(x) = 3x - 2 \) and \( g(x) = -x + 4 \). Find \( (f \circ g)(5) \). Answer: ____________________ --- ### 10. Let \( f(x) = 3x + 4 \) and \( g(x) = x^2 \). Find \( (f \circ g)(x) \) and its domain. Answer: ___________________________________________________________________ ---
Transcribed Image Text:**Educational Worksheet Transcription** --- ### 5. Determine the equation of the graph below. Choose the correct equation. Graph depicting a parabola with its vertex at (2, -3) and opening upwards. Options: a) \( y = (x - 2)^2 + 3 \) b) \( y = (x - 2)^2 - 3 \) c) \( y = (x + 2)^2 + 3 \) d) \( y = (x + 2)^2 - 3 \) --- ### 6. Graph \( f(x) = \sqrt{x + 2} - 3 \) Graph depicting the function \( f(x) = \sqrt{x + 2} - 3 \) on a coordinate plane. The graph starts at (-2, -3) and continues to increase slowly as \( x \) values become more positive. --- ### Use the following functions for #7 and 8. Let \( f(x) = 2x^2 + 3x \) and \( g(x) = x^2 + 4x \). 7. Find \( (f \circ g)(5) \). Answer: ____________________ 8. Find \( (g \circ f)(2) \). Answer: ____________________ --- ### 9. Let \( f(x) = 3x - 2 \) and \( g(x) = -x + 4 \). Find \( (f \circ g)(5) \). Answer: ____________________ --- ### 10. Let \( f(x) = 3x + 4 \) and \( g(x) = x^2 \). Find \( (f \circ g)(x) \) and its domain. Answer: ___________________________________________________________________ ---
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