nightwolf809z
Answered

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Let f(x)=√9x and g(x) = x + 7.
What’s the smallest number that is in the domain of fog

Let Fx9x And Gx X 7 Whats The Smallest Number That Is In The Domain Of Fog class=

Sagot :

f(g(x))

  • √9(x+7)
  • √9x+63

The smallest no for the domain is -63 as square root of a negative no not possible.

For -63

  • √-63+63
  • 0

semsee45

Answer:

x = -7

Step-by-step explanation:

[tex]\begin{aligned}f \circ g=f[g(x)] & = \sqrt{9(x+7)}\\& = \sqrt{9}\sqrt{x+7}\\ & = 3\sqrt{x+7}\end{aligned}[/tex]

Domain = input values (x-values)

As we cannot square root a negative number, the domain is:

x ≥ -7  →  [-7, ∞)

Therefore, the smallest number that is in the domain of  [tex]f \circ g[/tex]  is -7

View image semsee45
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