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

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