Question

given h(x)=2x2-7 and r(x)=x2+x -1,find (h + r)(x

a.2x2-1
b.3x2+6x-1
c.3x4-6x2-1
d.3x2-6x-1​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Given h(x) = 2x² - 7x and r(x) = x² + x - 1

then ( h + r )(x) =

a. 2x² - 1

b. 3x² + 6x - 1

c. 3x⁴ - 6x² - 1

d. 3x² - 6x - 1

EVALUATION

Here the given functions are

h(x) = 2x² - 7x

r(x) = x² + x - 1

Now

$\sf{(h + r)(x)}$

$\sf{ = h(x) + r(x)}$

$\sf{ = (2 {x}^{2} - 7x) + ( {x}^{2} + x - 1)}$

$\sf{ = 2 {x}^{2} + {x}^{2} - 7x + x - 1}$

$\sf{ = 3{x}^{2} - 6x - 1}$

FINAL ANSWER

Hence the correct option is

d. 3x² - 6x - 1

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