Mathematics: If g(x) =5x-3 and h(x) = sqrt x find (goh) (4)

6.5Step-by-step explanation:...

If g(x) =5x-3 and h(x) = sqrt x find (goh) (4)

jackh0406

11.03.2022

(goh) (4) = 7

Step-by-step explanation:

g(x) =5x-3 and h(x) = sqrt x

g(x)= 5x-3 and $h(x)= \sqrt{x}$

WE need to find (g o h)(4)

(g o h)(x) = g( h(x))

Plug in h(x) in g(x)

we know $h(x)= \sqrt{x}$

Plug it in g(x)

$(g o h)(x) = g( h(x))=g(\sqrt{x})$

Now plug in sqrt(x) in g(x)

$(g o h)(x) = g( h(x))=g(\sqrt{x})= 5\sqrt{x} - 3$

To find (g o h)(4), plug in 4 for x

$(g o h)(4) = g( h(4))=g(\sqrt{4})= 5\sqrt{4} - 3= 5(2)-3= 7$

(goh) (4) = 7

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