If h(5-2x) = sqrt(x^2+3x+5) for all real number x, what is the value of h(3)?

Mar 22, 2017

$h \left(3\right) = 3$

Explanation:

For $h \left(3\right)$ , we have to find the value of $x$.

$5 - 2 x = 3$

$2 x = 2$

$x = 1$

So,
$h \left(5 - 2 x\right) = \sqrt{{x}^{2} + 3 x + 5}$-------(1)

For $h \left(3\right)$, put x =1 in $e {q}^{n} 1$

$h \left(3\right) = \sqrt{{1}^{2} + 3 \times 1 + 5}$

$h \left(3\right) = \sqrt{1 + 3 + 5}$

$h \left(3\right) = \sqrt{9}$

$h \left(3\right) = 3$