If f(x)=1/3x+7 and g(x)=-2x-5, find f(g(-7))

Please help.

Step-by-step explanation:

We have the two functions:

And we want to find:

So, we will first find g(-7). We know that:

Then by substitution:

Evaluate. Multiply:

Therefore, we can rewrite our expression as:

Since we know that:

By substitution:

Evaluate:

Therefore:

Step-by-step explanation:

We are asked to find f(g(-7)) given these 2 functions:

We must work from the inside out, so first find g(-7).

1. g(-7)

The function for g is:

Since we want to find g(-7), plug -7 in for x.

Solve according the PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Multiply -2 and -7.

Subtract 5 from 14.

2. f(9)

Refer back to the original problem: f(g(-7))

Since we found that g(-7) is 9, we can substitute 9 in: f(9)

The function for f is:

Plug 9 in for x.

Solve according to PEMDAS and multiply 1/3 and 9.

Add 3 and 7.

f(g(-7) is equal to 10

$4

step-by-step explanation:

$30×5=$150

$150 minus $130=$20

$20÷5=$4.

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