Question
Download Solution PDFIf f(x) = 4x + 1 and g(x) = kx + 2 such that f o g(x) = g o f(x), then what is the value of k?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given
f(x) = 4x + 1, g(x) = kx + 2
⇒ fog(x) = 4(kx + 2) + 1 = 4kx + 9
⇒ go f(x) = k(4x + 1) + 2 = 4kx + k + 2
Also fog(x) = go f(x)
⇒ 9 = k + 2
⇒ k = 7
∴ Option (a) is correct
Last updated on May 30, 2025
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