For Problems 6-9, write the equation for each composition of functions (fog)(x) and (gof)(x), and express...

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For Problems 6-9, write the equation for each composition of functions (fog)(x) and (gof)(x), and express their domains and ranges in set notation. 6. f(x) = 2x-9 and g(x) = -5x + 6 7. f(x)=x-4 and g(x) = 6x +2 9. f(x)=x- x - 6 and g(x) = 2x - 3 8. f(x) = x + 5 and g(x)=x-3 For Problems 10-15, state the inverse of each function. Use composition of functions to verify the functions are inverse functions. 11. g(x) = 6x - 1/2 14. r(x) = -5x + 4 3 10. j(x) = x+ 10 13. f(x) = 3x + 1 3 12. h(x): 15. u(x) = 8x - 2 -x-2 For Problems 6-9, write the equation for each composition of functions (fog)(x) and (gof)(x), and express their domains and ranges in set notation. 6. f(x) = 2x-9 and g(x) = -5x + 6 7. f(x)=x-4 and g(x) = 6x +2 9. f(x)=x- x - 6 and g(x) = 2x - 3 8. f(x) = x + 5 and g(x)=x-3 For Problems 10-15, state the inverse of each function. Use composition of functions to verify the functions are inverse functions. 11. g(x) = 6x - 1/2 14. r(x) = -5x + 4 3 10. j(x) = x+ 10 13. f(x) = 3x + 1 3 12. h(x): 15. u(x) = 8x - 2 -x-2