# If f(x)= 2x+3 ; $g(x) =x^2-5$ . Then fog =  Option 1) $2x^2+3$ Option 2) $2x^2+13$ Option 3) $2x^2-7$ Option 4) $2x^2+1$

H Himanshu

As we have learned

Condition for composite function -

go f is defined only if for each $x\in A, f(x)$ is an element of g.

- wherein

The range of f must be a subset of the domain of g.

f(g(x))= 2(g(x)) +3 = $2x^2-10+3= 2x^2-7$

Option 1)

$2x^2+3$

Option 2)

$2x^2+13$

Option 3)

$2x^2-7$

Option 4)

$2x^2+1$

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