Question

Help is needed with this math problem!

Answer 1

Answer:

expression for (g + h)($x$) = $2x$ + $3x^2$ and for (g - h)($x$) = $2x$ - $3x^2$

value of (g .h)(2) = 24

Step-by-step explanation:

function operations: Functions with overlapping domains can be added, subtracted, multiplied and divided. If f(x) and g(x) are two functions, then for all x in the domain of both functions we can find the sum, difference, product and quotient

given :

g($x$) = $2x$

h($x$) = $3x^2$

we know that ;

(g + h)($x$) = g($x$) + h($x$)

              =  $2x$  + $3x^2$

similarly;

(g - h)($x$) = g($x$) - h($x$)

             =  $2x$ - $3x^2$

now,  

(g . h)($x$) = 2($3x^2$)

             = 6$x^2$

for (g .h)(2) = 6($2^2$)

                  = 6 × 4

                  = 24

learn more about function operations at :

brainly.com/question/27915566

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