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Parametric Differentiation

Find f+g 1...

Question

Find $(f + g) (1)$ when $f (x) = x + 6$ and $g (x) = x - 3$ .

A

5

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B

- 1

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C

11

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D

- 7

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Solution

The correct option is B $5$
Given, $f (x) = x + 6$ and $g (x) = x - 3$
We know $(f + g) (1)$ $= f (1) + g (1)$ .....(i)
So, $f (1) = 1 + 6 = 7$
and $g (1) = 1 - 3 = - 2$
On substituting this value in equation (i), we get
$(f + g) (1) = 7 - 2 = 5$

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