When [tex]g(x) = 0[/tex], the value of x is [tex]\frac{3}{8}[/tex].
When [tex]x = 0[/tex], the value of g(x) is 3.
When [tex]g(x) = -5[/tex], the value of x is 1.
When [tex]x = 3[/tex], the value of g(x) is -21.
What is substitution?
Substitution means putting numbers in place of letters to calculate the value of an expression.
What is function?
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) is called a function.
We have a function.
[tex]g(x) = 3 -8x..(i)[/tex]
According to the given question.
We have to find the value of x and g(x).
Now,
When [tex]g(x) = 0[/tex] we have to find the value of x.
Therefore, substitute the value of g(x) = 0 in (i)
⇒ [tex]0 = 3- 8x[/tex]
⇒ [tex]8x = 3[/tex]
⇒ [tex]x = \frac{3}{8}[/tex]
Hence, [tex]x = \frac{3}{8}[/tex] when g(x) ix 0.
When [tex]x = 0[/tex], we have to find the value of g(0) or g(x)
Therefore, substitute x = 0 in (i)
⇒ [tex]g(0) = 3 - 8(0)[/tex]
⇒[tex]g(0) = 3[/tex]
Hence, at x = 0 g(x) will be 3.
When, [tex]g(x)=(-5)[/tex] we have to find the value of [tex]x[/tex].
Therefore, substitute [tex]g(x) = -5[/tex] in (i)
⇒ [tex]-5 = 3 - 8x[/tex]
⇒ [tex]-5-3=-8x[/tex]
⇒ [tex]-8=-8x[/tex]
⇒ [tex]x = 1[/tex]
Hence, when [tex]g(x) = -5[/tex], the value of x will be 1.
When [tex]x = 3[/tex], we have to find the value of [tex]g(x)[/tex].
Therefore, substitute the value of x = 3 in (i)
⇒ [tex]g(3) = 3-8(3)[/tex]
⇒ [tex]g(3) = 3 - 24[/tex]
⇒ [tex]g(3) = -21[/tex]
Hence, the value of g(x) will be -21 when x = 3.
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