Question
Download Solution PDFg(x) = x2 + x - 1 మరియు (gof)(x) = 4x2 - 10x + 5 అయితే, \(f\left(\frac{5}{4}\right) \) విలువ ఎంత?
- \(-\frac{3}{2}\)
- \( -\frac{1}{2}\)
- \(\frac{1}{2}\)
- \(\frac{3}{2}\)
Answer (Detailed Solution Below)
Option 2 : \( -\frac{1}{2}\)
India's Super Teachers for all govt. exams Under One Roof
FREE
Demo Classes Available*
Enroll For Free Now
Detailed Solution
Download Solution PDFవివరణ -
g(x) = x2 + x - 1
gof(x) = 4x2 - 10x + 5
g(f(x) = 4x2 - 10x + 5
f2(x) + f(x) - 1 = 4x2 - 10x + 5
x = 5/4 మరియు f(5/4) = t అని అనుకుందాం
\(t^2 + t + \frac{1}{4} = 0\)
t = -1/2 లేదా f(5/4) = -1/2
కాబట్టి ఎంపిక (2) సరైనది.
India’s #1 Learning Platform
Start Complete Exam Preparation
Daily Live MasterClasses
Practice Question Bank
Mock Tests & Quizzes
Trusted by 7.2 Crore+ Students