The value of the function (h-g)(2.1) is -3.51
The equations of the functions are given as:
Let g(x)= 2x^2+3x-9 and h(x)=x^2+2x-6
To calculate or find (h-g)(2.1), we start by calculating h(2.1) and g(2.1)
This is calculated as follows:
g(2.1)= 2(2.1)^2+3(2.1)-9
Evaluate
g(2.1)= 6.12
h(2.1)=(2.1)^2+2(2.1)-6
Evaluate
h(2.1)=2.61
The function is then calculated as:
(h-g)(2.1) = h(2.1) - g(2.1)
This gives
(h-g)(2.1) = 2.61 - 6.12
Evaluate the difference
(h-g)(2.1) = -3.51
Hence, the value of the function (h-g)(2.1) is -3.51
As a breakdown
g(x)= 2x^2+3x-9
h(x)=x^2+2x-6
g(2.1)= 2(2.1)^2+3(2.1)-9
g(2.1)= 6.12
h(2.1)=(2.1)^2+2(2.1)-6
h(2.1)=2.61
(h-g)(2.1) = h(2.1) - g(2.1)
(h-g)(2.1) = 2.61 - 6.12
(h-g)(2.1) = -3.51
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