Question

f(x) = square root 2x
g(x) = square root 18x

find (f*g)(x). Assume x is greater than or equal to 0

Answer 1

Answer:

Opt. no. D

Step-by-step explanation:

(f. g)x=√2x. √18x

=√2x. √3.3.2.x

=√2x. 3√2x

=3.(√2x) ^2

=3.2x

=6x

Answer 2

Answer:

The value of $(f.g)(x)$ is 6x and the correct option is D.

CONCEPT:

This is a composition question . In this question first we have to find the function f with respect to x and then solve the function g with respect to x and then multiply both the functions.

GIVEN:

• $f(x)=\sqrt{2x}$
• $g(x)=\sqrt{18x}$

TO FIND:

$(f.g)(x)$

SOLUTION:

The given question means the multiplication of the functions as shown below:

$(f.g)(x)=f(x).g(x)$

Now putting the values of function f and g in terms of x , we get

$(f.g)(x)=\sqrt{2x} .\sqrt{18x}$

Now separating the value to solve it easily,

$(f.g)(x)=\sqrt{2}.\sqrt{18}.\sqrt{x} \sqrt{x}$

Now separating the multiple of 18 ,

$(f.g)(x)=\sqrt{2}.\sqrt{2.3.3}.x$

Further multiplying  the values, we get

$(f.g)(x)=6x$

From the given option , D is the correct answer.

To solve similar question of function, refer below

https://brainly.in/question/2577679

https://brainly.in/question/3687237

Thank you