Question

Function Operations :- If f(x) = 7x + 5 and g(x) = 2x2 – 5,
find f(x) + g(x).

Answer 1

Step-by-step explanation:

Given, f(x)=2x

3

+7x−5

∴f

′

(x)=6x

2

+7

g(x)=f

−1

(x)⇒g{f(x)}=x

Differentiating both sides, w.r.t x

g

′

(f(x))=

f

′

(x)

1

=

6x

2

+7

1

when x=1,f(x)=4

∴g

′

(4)=

13

1