Answer :
Sure! Let's solve the problem step-by-step.
We're given the function:
[tex]\[ f(x) = 3x + 5 \][/tex]
We know that:
[tex]\[ f(a) = 26 \][/tex]
So, we need to find the value of [tex]\( a \)[/tex]. This means we can set up the equation:
[tex]\[ 3a + 5 = 26 \][/tex]
1. Subtract 5 from both sides to isolate the [tex]\( 3a \)[/tex] term:
[tex]\[ 3a + 5 - 5 = 26 - 5 \][/tex]
[tex]\[ 3a = 21 \][/tex]
2. Divide both sides by 3 to solve for [tex]\( a \)[/tex]:
[tex]\[ a = \frac{21}{3} \][/tex]
[tex]\[ a = 7 \][/tex]
Therefore, the value of [tex]\( a \)[/tex] is 7. The correct choice is c. 7.
We're given the function:
[tex]\[ f(x) = 3x + 5 \][/tex]
We know that:
[tex]\[ f(a) = 26 \][/tex]
So, we need to find the value of [tex]\( a \)[/tex]. This means we can set up the equation:
[tex]\[ 3a + 5 = 26 \][/tex]
1. Subtract 5 from both sides to isolate the [tex]\( 3a \)[/tex] term:
[tex]\[ 3a + 5 - 5 = 26 - 5 \][/tex]
[tex]\[ 3a = 21 \][/tex]
2. Divide both sides by 3 to solve for [tex]\( a \)[/tex]:
[tex]\[ a = \frac{21}{3} \][/tex]
[tex]\[ a = 7 \][/tex]
Therefore, the value of [tex]\( a \)[/tex] is 7. The correct choice is c. 7.