HSC Arts (English Medium) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions

Verify that f and g are inverse functions of each other, where f(x) = `(x + 3)/(x - 2)`, g(x) = `(2x + 3)/(x - 1)`

Check if the following function has an inverse function. If yes, find the inverse function.

f(x) = 5x²

Check if the following function has an inverse function. If yes, find the inverse function.

f(x) = 8

Check if the following function has an inverse function. If yes, find the inverse function.

f(x) = `(6x - 7)/3`

Check if the following function has an inverse function. If yes, find the inverse function.

f(x) = `sqrt(4x + 5)`

Check if the following function has an inverse function. If yes, find the inverse function.

f(x) = 9x³ + 8

Check if the following function has an inverse function. If yes, find the inverse function.

f(x) = `{(x + 7, x < 0),(8 - x, x ≥ 0):}`

If f(x) = `{(x^2 + 3, x ≤ 2),(5x + 7, x > 2):}`, then find f(3)

If f(x) = `{(x^2 + 3, x ≤ 2),(5x + 7, x > 2):}`, then find f(2)

If f(x) = `{(x^2 + 3, x ≤ 2),(5x + 7, x > 2):}`, then find f(0)

If f(x) = `{(4x - 2",", x ≤ -3),(5",", -3 < x < 3),(x^2",", x ≥ 3):}`, then find f(– 4)

If f(x) = `{(4x - 2",", x ≤ -3),(5",", -3 < x < 3),(x^2",", x ≥ 3):}`, then find f(– 3)

If f(x) = `{(4x - 2",", x ≤ -3),(5",", -3 < x < 3),(x^2",", x ≥ 3):}`, then find f(1)

If f(x) = `{(4x - 2",", x ≤ -3),(5",", -3 < x < 3),(x^2",", x ≥ 3):}`, then find f(5)

If f(x) = 2|x| + 3x, then find f(2)

If f(x) = 2|x| + 3x, then find f(– 5)

If f(x) = 4[x] − 3, where [x] is greatest integer function of x, then find f(7.2)

If f(x) = 4[x] − 3, where [x] is greatest integer function of x, then find f(0.5)

If f(x) = 4[x] − 3, where [x] is greatest integer function of x, then find `"f"(- 5/2)`

If f(x) = 4[x] − 3, where [x] is greatest integer function of x, then find f(2π), where π = 3.14