Answer:
x = 2
Step-by-step explanation:
f(x) = x + 8
f(x) = 10
10 = x + 8
minus 8 from the both sides
10 - 8 = x
2 = x
x = 2
Hope this is right correct me if im wrong!!!
Exponential function is a function between the dependent variable and independent variable in which the constant change in the independent variable gives the same proportional change in the dependent variable.
[tex]y=\dfrac{10}{3} \times 3^x[/tex]
Given information-
The exponential function [tex]f[/tex] takes the value 10 when,
[tex]x=1[/tex]
The exponential function [tex]f[/tex] takes the value 2 when,
[tex]x=2[/tex]
Exponential function is a function between the dependent variable and independent variable in which the constant change in the independent variable gives the same proportional change in the dependent variable.
The general form of the exponential function,
[tex]y=ab^x[/tex]
Here [tex]a[/tex] is the y intercept of the function and exponent of independent variable [tex]x[/tex].
The exponential function [tex]f[/tex] takes the value 10 when the value of x is 1.
thus,
[tex]10=ab^1\\10=ab\\a=\dfrac{10}{b}[/tex]
Let the above equation as equation number 1.
The exponential function [tex]f[/tex] takes the value 2 when the value of x is 2,
[tex]30=ab^2\\30=ab^2\\a=\dfrac{30}{b^2}[/tex]
Compare the values of a,
[tex]\frac{10}{b} =\frac{30}{b^2}\\ b=\dfrac{30}{10}\\ b=3[/tex]
Put the value of b in equation 1,
[tex]a=\dfrac{10}{3}[/tex]
Thus the y intercept of the function is 10/3.
Put the values to find the equation,
[tex]y=\dfrac{10}{3} \times 3^x[/tex]
Hence,
[tex]y=\dfrac{10}{3} \times 3^x[/tex]
Learn more about the exponential function here;
https://brainly.com/question/15352175
