Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th

# The function f and g are defined by f(x) = 6x + 8; g(x) = x-23 Calculate the value of gg(12) - Mathematics

Sum

The function f and g are defined by f(x) = 6x + 8; g(x) = (x - 2)/3

Calculate the value of "gg" (1/2)

#### Solution

"gg" (1/2) = "g"["g"(1/2)]

= "g"[1/2 - 2 ÷ 3]

= "g"[(1 - 4)/2 ÷ 3]

= "g"[(-3)/2 xx 1/3]

= "g"[- 1/2]

= [- 1/2 - 2 ÷ 3]

= [(-1 - 4)/2 ÷ 3]

= [(-5)/2 xx 1/3]

"gg" (1/2) = - 5/6

Concept: Functions
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#### APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 1 Relations and Functions
Unit Exercise – 1 | Q 9. (i) | Page 34