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Math  /  Algebra

QuestionWhat is the value of g(3g+h)g(3 g+h) where g=2g=2 and h=7h=7 ?

Studdy Solution

STEP 1

1. We are given a function expression g(3g+h) g(3g + h) .
2. The values of g g and h h are provided as g=2 g = 2 and h=7 h = 7 .
3. We need to substitute these values into the expression and simplify to find the result.

STEP 2

1. Substitute the given values into the expression.
2. Simplify the expression step-by-step.
3. Calculate the final result.

STEP 3

Substitute the given values g=2 g = 2 and h=7 h = 7 into the expression g(3g+h) g(3g + h) .
g(3g+h)=2(3×2+7) g(3g + h) = 2(3 \times 2 + 7)

STEP 4

Simplify the expression inside the parentheses.
Calculate 3×2 3 \times 2 :
3×2=6 3 \times 2 = 6
Now substitute back into the expression:
2(6+7) 2(6 + 7)

STEP 5

Continue simplifying by adding the numbers inside the parentheses.
Calculate 6+7 6 + 7 :
6+7=13 6 + 7 = 13
Now substitute back into the expression:
2×13 2 \times 13

STEP 6

Calculate the final result by multiplying.
2×13=26 2 \times 13 = 26
The value of g(3g+h) g(3g + h) is:
26 \boxed{26}

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