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The function is the formula to convert x °C to Fahrenheit units. Find
(i) F(0),
(ii) F(–10),
(iii) The value of x when f(x) = 212.
Interpret the result in each case.
Given: …(i)
To find: (i) F(0)
Substituting the value of x = 0 in eq. (i), we get
⇒ F(0) = 32
It means 0° C = 32° F
To find: (ii) F(-10)
Substituting the value of x = -10 in eq. (i), we get
⇒ F(-10) = 9 × (-2) + 32
⇒ F(-10) = -18 + 32
⇒ f(-10) = 14
It means -10° C = 14° F
To find: (iii) the value of x when F(x) = 212
It is given that
Substituting the value of F(x) = 212 in the above equation, we get
⇒ x = 20 × 5
⇒ x = 100
It means 212°F = 100°C