# Evaluate: \( f(g(-5)) \)## Graphs### Left Graph: \( y = f(x) \)- This graph displays a parabola, which opens downwards.- The vertex of the parabola is at (2, 8).- The x-intercepts appear around (-1, 0) and (5, 0).- The parabola is symmetrical around the line \( x = 2 \).### Right Graph: \( y = g(x) \)- This graph displays a V-shaped graph, characteristic of an absolute value function.- The vertex is at the origin (0, 0).- The graph has linear sections extending from the vertex with slopes of 1 and -1, creating symmetry along the y-axis.## ProblemEvaluate \( f(g(-5)) \).## Solution Steps:1. Identify \( g(-5) \) from the graph. - For \( x = -5 \), find the corresponding \( y \)-value. - From the graph of \( g(x) \), \( g(-5) = 5 \).2. Substitute \( g(-5) \) into \( f \): \( f(5) \). - For \( x = 5 \) in the graph of \( f(x) \), find the corresponding \( y \)-value. - From the graph of \( f(x) \), \( f(5) = 0 \).## Final Answer- \( f(g(-5)) = 0 \)**Answer: (Enter into the box provided):** 0*Submit Answer*

Answered: Evaluate: f(g(-5)) y = f(x) y g(x) 10…

Evaluate: f(g(-5)) y = f(x) y g(x) 10 10 8. 9. 7. 6. 4 13 2 -10-9-8 -7 -6 -5 -4 -3 --1 123 5 6 7 8 9 10 -10-9 -8 -6 -5 -4 -3-2 -1 1 2345678 1 -2 -2 -3 -3 -4 -4 -5 -5 -6 -6 -8 -8 -9 -10 -10.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

State the domain and range of f(x) = 2³=¯6 +5. A. Domain: {x = R} Range: {ve R} B. Domain: {x = R\x>3} Range: {ye Ry5} Domain: {x =R x0}
1. Given f(x) = 2- 3x and g(x) = 2x + 5x – 1, find the following values. a) f(-3) b) f(0) c) -2g(3) d) g() e) f(3x)
B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)] find 1. h[f(1)] 7 3. g[f(3)]/h(-2) 4. g[h(f(-2)]
4. For the following function: 1 a) f(x) b) f (x) V4-x c) f(x) 2 In(x + 4) 2x 3 (a) Find the domain and the range. (b) Evaluate the following: a. f(a) b. f(a+ h) c. f(1/6) d. f(5 2s)
Given the three function below, which expression equals (s o cow)(x)? c(x) = x³ s(г) — 4а — 9 w(x) = e" (4e" – 9)³ (e(dz-9) ³ (4x- 4 (e*)³ – 9 - -
If the function defined by 4x + 64 a # -16 is x + 16 k 9(æ) = x = -16 continuous at x = :-16, then the value of k is 16 -4 4 -16
Let f(x) = (x² - 8x+6 (4x+9 for x ≤ 6 for x > 6 Find the value of f(7). A. 34 C. - 7 B. 37 D.-1