Let the domain of the function f(x)= ⁻¹ ( 4 x+5 3 x-7 ) be [ , ] and the domain of g ( x )= ₂ (2-6 ₂₇(2 x +5) ) be ( , ) . Then |7( + )+4( + )| is equal to ________

Step-by-step solution

aligned & f(x)= ⁻¹ ( 4 x+5 3 x-7 ) & -1 ( 4 x+5 3 x-7 ) 1 & ( 4 x+5 3 x-7 ) -1 & 4 x+5+3 x-7 3 x-7 0 & 7 x-2 3 x-7 0 aligned aligned & x (- , 2 7 ] ( 7 3 , ) & & 4 x+5 3 x-7 1 x+12 3 x-7 0 aligned Domain of f(x) is aligned & [-12, 2 7 ] =-12, = 2 7 & ~g ( x )= ₂ (2-6 ₂₇(2 x +5) ) aligned Domain 2-6 ₂₇(2 x+5) 0 array ll & 6 ₂₇(2 x +5) 2 & ₂₇(2 x +5) 1 3 & 2 x +5 3 & x -1 array & 2 x+5 0 x - 5 2 Domain is x (- 5 2 ,-1 ) aligned & =- 5 2 , =-1 & |7( + )+4( + )|= , 7 ( .-12+ 2 7 +4 (- 5 2 -1 ) , . . & |-82-14|=96 align