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------------------------------------------------ If [tex]f(x) = 3x + 5[/tex] and [tex]f(a) = 26[/tex], then what is the value of [tex]a[/tex]?

A. 83
B. 8
C. 7
D. 52

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.

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