Question

the function f:N~r is defined by f(x) =2n the range of the function is​

Answer 1

f(x)=4x 2 +12x+15=y(ut)

f(x)=4x 2 +12x+15=y(ut)D=144−4×4×15<0

f(x)=4x 2 +12x+15=y(ut)D=144−4×4×15<0∴f(x) will always be +ve

f(x)=4x 2 +12x+15=y(ut)D=144−4×4×15<0∴f(x) will always be +veHence it u invertible.

f(x)=4x 2 +12x+15=y(ut)D=144−4×4×15<0∴f(x) will always be +veHence it u invertible.4x2 +12x+15−y=0

f(x)=4x 2 +12x+15=y(ut)D=144−4×4×15<0∴f(x) will always be +veHence it u invertible.4x2 +12x+15−y=0x= 8−12± 144−4×4×(15−y)

f(x)=4x 2 +12x+15=y(ut)D=144−4×4×15<0∴f(x) will always be +veHence it u invertible.4x2 +12x+15−y=0x= 8−12± 144−4×4×(15−y)x= 8−12±4

f(x)=4x 2 +12x+15=y(ut)D=144−4×4×15<0∴f(x) will always be +veHence it u invertible.4x2 +12x+15−y=0x= 8−12± 144−4×4×(15−y)x= 8−12±4 9−15+y

x= 2−3±2 y−6

→ inverse

Hi, hope it will be helpful