A function `f (-3 , 7) to R` is defined as follows
`f (x) = {{:( 4 x^(2) + 1 , ,-3 le x lt 2) , (3x - 2 , ,2 le x le 4) , (2x + 3 , ,4 lt x lt 7):}}`
Find (i) 5 f(1) - 3 f(-2) (ii) 3f (-3) + 4 f (iii) `(7 f (3) - f (-1))/(2 f (6) - f(1))`

A function f [-3, 7] rarr R is defined as follows f(x) = {{: (4x^(2) - 1, " " -3 le x lt 2 ),(3x -2, " " 2 le x le 4 ),(2x -3 , " " 4 lt x lt 7):} Find (i) f (5) + f(6) (ii) f(1) - f(-3) (iii) f(-2)-f(4) (iv) (f(3)+ f(-1))/(2 f(6) - f(1))

A function f:[-7, 6) to R is defined as follows. f(x)={(x^(2)+2x+1, -7lexlt-5), (x+5, -5lexle2), (x-1, 2ltxlt6):} Find 2f(-4)+3f(2)

A function f:[-7, 6) to R is defined as follows. f(x)={(x^(2)+2x+1, -7lexlt-5), (x+5, -5lexle2), (x-1, 2ltxlt6):} Find f(-7)-f(-3)

A function f : (1,6) rarr R is defined as follows f(x) = {{: (1 + x, " " 1 le x lt 2 ),(2x - 1, " " 2 le x lt 4 ),(3 x^(2) -10, " " 4 le x lt 6 ):} (here , (1,6) = (x in R : 1 le x lt 6 ) ) Find the value of (i) f (5) (ii) f (3) (iii) f(1) (iv) f (2) - f(4) (v) 2 f(5) - 3 f(1).

A function f:[1 6) to R is defined as follows. f(x)={(x+1, 1lexlt2), (2x-1, 2lexlt4), (3x^(2)-10, 4lexlt6):} Find the value of f(2)-f(4) .

A function f:[-5, 9] to R is defined as follows: f(x)={(6x+1" if" -5lexlt2 ), (5x^(2)-1" if "2lexlt6), (3x-4" if " 6lexle9):} Find (2f(-2)-f(6))/(f(4)+f(-2))

A function f:[-5, 9] to R is defined as follows: f(x)={(6x+1" if" -5lexlt2 ), (5x^(2)-1" if "2lexlt6), (3x-4" if " 6lexle9):} Find f(7)-f(1)