Given the functions f(x)=x²+1 and g(x)-3-x, determine an equation for the combined function y-f(x) + g(x). y=x²-x+ 2 b. a. y=x²+x+4 c. y=x²-x+4 d. y=x²+x-2 2. Iff-((-7, 1), (-5, 8), (3, 11), (5,-1)) and g-((-6, 4), (-5, 3), (-1,7), (5, 5)), what is y=f(x) + g(x)? a. {{-13, 5), (-10, 11), (2, 18), (10,4)} C. ((-5, 8), (-5, 3), (5,-1), (5,5)) b. ((-10, 11), (10,4)} d. ((-5, 11), (5, 4)) 3. If f(x)=cot x and g(x) = sin x, which of these statements is true? f(x)g(x) = cos x a. b. C. f(x)g(x) = cotx f(x)g(x)=csc x d. f(x)g(x)= tan x 4. The zeros of a function g(x) appear on the graph of y as x-intercepts b. holes c. vertical asymptotes d. B or C 5. Given the function f(x)=x²-1, determine the value of ff(3)). a. 64 b. 63 C. 100 d. 101 6. Given a function f(x) and g(x)= 3(x-1), how would the graph of y-f(x) compare to the graph of y-f(g(x))? a. vertically stretched and translated to the right b. horizontally compressed and translated to the left C. horizontally stretched and translated to the right d. horizontally compressed and translated to the right 7. If f(x) = log 4x and g(x)=x-2, which of these expressions is equivalent to (fog)(4)? log² 14 a. b. log² 16-2 C. log 4+ log 14 d. log 4 x log 14 8. If f(x) is an odd function and g(x) is an even function, then what type of function is y=f(x) + g(x)? a. odd b. even C. neither d. cannot be determined for sure 9. If f(x) and g(x) are even functions, then what type of function is y=f(x) g(x)? a. odd b. even C. neither d. cannot be determined for sure 4. The zeros of a function g(x) appear on the graph of y- 8(t) as a. x-intercepts b. holes c. vertical asymptotes d. B or C 5. Given the function f(x)=x²-1, determine the value of ff(3)). a. 64 b. 63 C. 100 d. 101 6. Given a function f(x) and g(x)-3(x-1), how would the graph of y-f(x) compare to the graph of y=f(g(x))? a. vertically stretched and translated to the right b. C. horizontally compressed and translated to the left horizontally stretched and translated to the right horizontally compressed and translated to the right d. 7. If f(x) = log 4x and g(x)=x²-2, which of these expressions is equivalent to (fog)(4)? a. log² 14 b. log² 16-2 C. log 4+ log 14 d. log 4 x log 14 8. If f(x) is an odd function and g(x) is an even function, then what type of function is y=f(x) + g(x)? a. odd b. even C. neither d. cannot be determined for sure 9. If f(x) and g(x) are even functions, then what type of function is y=f(x) g(x)? a. odd b. even C. neither d. cannot be determined for sure 10. Given a function f(x) and g(x)=-x+ 1, how would the graph of y-f(x) compare to the graph of y=f(g(x))? a. b. reflected in the y-axis and translated to the right reflected in the x-axis and translated to the right reflected in the x-axis and translated to the left reflected in the y-axis and translated to the left C. d