Find x, if f(x) = g(x) where f(x) = x4 + 2x2 , g(x) = 11x2 - Mathematics and Statistics

Find x, if f(x) = g(x) where f(x) = x⁴+ 2x² , g(x) = 11x²

Sum

f(x) = x⁴ + 2x² , `"g"(x)` = 11x²f(x) = g(x)
∴ x⁴+ 2x² = 11x²∴ x⁴– 9x²= 0
∴ x² (x² – 9) = 0
∴ x = 0 or x²– 9 = 0
∴ x = 0 or x² = 9
∴ x = 0 or x = ± 3

shaalaa.com

Representation of Function

Is there an error in this question or solution?

Chapter 2: Functions - Exercise 2.1 [Page 31]

Chapter 2 Functions
Exercise 2.1 | Q 5 | Page 31

Which sets of ordered pairs represent functions from A = {1, 2, 3, 4} to B = {−1, 0, 1, 2, 3}? Justify : {(1,0), (3, 3), (2,−1), (4, 1), (2, 2)}

Which sets of ordered pairs represent functions from A = {1, 2, 3, 4} to B = {−1, 0, 1, 2, 3}? Justify : {(1, 2), (2,−1), (3, 1), (4, 3)}

Which set of ordered pair represent function from A = {1, 2, 3, 4}to B = {−1, 0, 1, 2, 3}? Justify : {(1, 3), (4,1), (2, 2)}

Which set of ordered pair represent function from A = {1, 2, 3, 4}to B = {−1, 0, 1, 2, 3}? Justify : {(1, 1), (2, 1), (3, 1), (4, 1)}

Find x, if `"g"(x)` = 0 where `"g"(x)` = `(5x−6)/7`

Find x, if `"g"(x)` = 0 where `"g"(x)`= `(18−2x^2)/ 7`

Find x, if `"g"(x)` = 0 where `"g"(x)` = 6x² + x − 2

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

If f(x) = 2x² + 3, g(x) = 5x – 2, then find gog.

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

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

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