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Answer:

Here you go, i didnt want to write it out.

Step-by-step explanation:

Ver imagen davidvaldez93

You can equate both equations' right side as left side is already f(x) and we have to find the value of x.

The value of x at which f(x) is 90 is given by

x = 7

How to find the value of x for which the given function outputs 90 as value?

Since we have two equations:

[tex]f(x) = 90\\f(x) = 5(x+1)[/tex]

and both's left side are same thus, we have:

[tex]f(x) = 90 = 5(x + 11)[/tex]

Taking the later two equality, we get:

[tex]90 = 5(x + 11)\\\\\text{Dividing both sides with 5}\\\\\dfrac{90}{5} = \dfrac{5(x+11)}{5} \\\\18 = x + 11\\\\\text{Subtracting 11 from both the sides}\\\\18 - 11 = x + 11 - 11\\\\7 = x\\x = 7[/tex]

Thus,

The value of x at which f(x) is 90 is given by

x = 7

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