23. If f :R → R and g: R are defined by f (x) = 2x + 3 and g (x) = x2 + 7, then the values of x such that g (f (x)) = 8 are(a) 1,2(b) -1,2(c) - 1,- 2(d) 1, -2

23. If f :R → R and g: R are defined by f (x) = 2x + 3 and g (x) = x

1.	23. If f :R → R and g: R are defined by f (x) = 2x + 3 and g (x) = x2 + 7, then the values of x such that g (f (x)) = 8 are(a) 1,2(b) -1,2(c) - 1,- 2(d) 1, -2
Answer» (c) - 1,- 2Step-by-step explanation:Given f (X) = 2x + 3 and g (x) = x^2 + 7g (f (x)) = 8⇒g( 2x + 3) = 8⇒(2x + 3)^2 + 7 = 8⇒4x^2 + 12x +8 = 0 ⇒x^2 + 3X +2 = 0⇒(x+1)(x+2) = 0⇒ x= -1, -2

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23. If f :R → R and g: R are defined by f (x) = 2x + 3 and g (x) = x2 + 7, then the values of x such that g (f (x)) = 8 are(a) 1,2(b) -1,2(c) - 1,- 2(d) 1, -2​

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23. If f :R → R and g: R are defined by f (x) = 2x + 3 and g (x) = x2 + 7, then the values of x such that g (f (x)) = 8 are(a) 1,2(b) -1,2(c) - 1,- 2(d) 1, -2