Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \bold{ \sf{x = 2}}}}}}[/tex]
Step-by-step explanation:
Given, h(x) = 13
To find : value of x
[tex] \sf{h(x) = 9 + {x}^{2} }[/tex]
[tex] \longrightarrow{ \sf{13 = 9 + {x}^{2} }}[/tex]
Swap the sides of equation
[tex] \longrightarrow{ \sf{9 + {x}^{2} = 13}}[/tex]
Move 9 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{ {x}^{2} = 13 - 9}}[/tex]
Subtract 9 from 13
[tex] \longrightarrow{ \sf{ {x}^{2} = 4}}[/tex]
[tex] \longrightarrow{ \sf{ \sqrt{ {x}^{2} } = \sqrt{4} }}[/tex]
[tex] \longrightarrow{ \sf{x = \: \sqrt{ {2}^{{2}} }}}[/tex]
[tex] \longrightarrow{ \sf{x = 2}}[/tex]
Hope I helped!
Best regards!
